A cell phone company $500 for a new phone and $60 for a monthly plan. If C(t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function?
A. R: (0,500)
B. R: (60,560)
C. R: R
C: R: (-infinity, infinity)

HOW DO I SOLVE THIS?!

Answers

Answer 1

The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: [tex]R: (500, \infty)[/tex]

Given that:

[tex]Phone = \$500[/tex]

[tex]Monthly\ Plan = \$60[/tex]

Let the number of months be t. So, the function C(t) is calculated as follows:

[tex]C(t) = Phone + Monthly\ Plan \times t[/tex]

[tex]C(t) = 500 + 60 \times t[/tex]

[tex]C(t) = 500 + 60t[/tex]

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

[tex]C(0) = 500 + 60\times 0= 500 + 0 = 500[/tex]

And the highest is [tex]\infty[/tex] i.e. for a large value of t

So, we have:

[tex]C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty[/tex]

Hence, the range of the function is:

[tex]R: (500, \infty)[/tex]

Read more about range of functions at:

https://brainly.com/question/13824428


Related Questions

it takes a lady 26 minutes to travel 3 km by walking the first part at 6 km per hour and running the second part at 10 km per hour what distance does she walk​

Answers

Answer:

78 meter 360meters 600 meters

maths
class 8th
give answers

Answers

Answer:

8/9 + -8/9 = 0

[2^-1 + 3^-2 + 4^-3]^0 = 1

can someone help me with this one again bc I didn't show the decimal Decimal: 0.44​

Answers

Step-by-step explanation:

The answer is 10 times

=> 4 hundredths x 10 = 4 tenths

=> 0.04 x 10 = 0.4, which is correct

Hope that helps

PLEASE HELP WITH EXPLANATION NO LINKS OR I Will Report You

Answers

Answer:

none of above

Step-by-step explanation:

please mark me brainleast

Answer: a because 2 negatives equals a positive

Step-by-step explanation:

solve for y
-10x + 2y =4

Answers

Answer:

y = 5x + 2

Step-by-step explanation:

Add 10x to both sides

2y = 10x + 4

Divide both sides by 2

y = 5x + 2

a line passes through the points 3, 0 and 4, 1. what is the y-intercept of the line

Answers

9514 1404 393

Answer:

  (0, -3)

Step-by-step explanation:

The slope is the same for any segment of the line. The slope from (0, y) to (3, 0) is the same as from (4, 1) to (3, 0).

  Δy/Δx = (y -0)/(0 -3) = (1 -0)/(4 -3)

  y = -3(1/1) = -3 . . . . . multiply by -3

The y-intercept is (0, -3).

Find the missing angle.

Answers

Answer:

Angel V = 74

I hope it's helps you

The missing angle is 74 degrees. Triangles add up to 180° so do 180 minus the angles given to get 74.

What is the quotient of 7.584 x 10^9 and 7.9 x 10^ 2 expressed in scientific notation?

Answers

Answer:

9.6 × 10  6

Step-by-step explanation:

(7.584 × ) ÷ (7.9 × 10²)

This gives;

×    = 0.96 ×

Simplifying further gives;

9.6 ×  = 9.6 ×

Solve the following equation.
X - (-6) = 15

Answers

X = 9, good luck, Chuck.

Answer:  x=9

Step-by-step explanation:

x-(-6)=15

first the subtraction sign and the negative sign becomes a plus sign

x+6=15

  -6  -6

Next you subtract 6 from both sides of the equation. And that leaves you with

x=9

can 0.462 be written as a fraction and is it a terminating or repeating decimal

Answers

Answer: 462/1000

Step-by-step explanation:

Combine Like Terms
1. What is the simplest expression equivalent to 2 - 11 + 18 - 20.x ?
-7-21x
7-19x
7+21x
-7+19x

Answers

Answer:

-9x+20

Step-by-step explanation:

What's (9+9i)(-1-5i) using foil method

Answers

Answer:

36-54i

Step-by-step explanation:

(9+9i)(-1-5i)

v

-9-9×5i-9i-9i×5i

v

-9-45i-9i-45i^2

v

-9-45i-9i-45×(-1)

v

(-9)-45i-9i+(45)

v

36(-45i)(-9i)

v

36-54i

what passes through the points (-1/2 4) and (1/2 6). show your work​

Answers

Step-by-step explanation:

The equation of line which passes through these points is determined by:

p(x1,y1)=(-1/2,4) p(x2,y2)=(1/2,6)

[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ \frac{y - 4}{6 - 4} = \frac{x + \frac{ 1}{2} }{ \frac{1}{2} + \frac{1}{2} } \\ \frac{y - 4}{2} = \frac{2x + 1}{2} \\ 2(2x + 1) = 2(y - 4) \\ 4x + 2 = 2y - 8 \\ 4x - 2y + 2 + 8 = 0 \\ 4x - 2y + 10 = 0[/tex]

Note:if you need to ask any question please let me know.

Name 10 different rays. Then name 2 pairs of opposite rays.

I simply need to check answers!

Answers

Answer:

Rays are.

DA,CB,AB,EA,CA,CD,EB,BC, rest I don't know

4) When you get to college you will be assigned a new Student Identification Number. If this ID is
5 number digits and 2 letters long, how many possible students can the school accommodate?

Answers

The IDs are of the form DDDDDLL, where D is a digit and L is a letter. There are 10 digits and 26 letters in English.
This gives you 10*10*10*10*10*26*26 possible combinations, or that many possible students who can use that system.

That’s 67,600,000 students.

Write this as an algebraic expression:

You have $100 and make $25 a day

Answers

Answer:

25d + 100

Step-by-step explanation:

I will call "d" the days passed

25d + 100

-3(4x+3)+4(6x+1)43
please solve the problem fully

Answers

Answer and Step-by-step explanation:

First, distribute the numbers outside of the parenthesis to the numbers on the inside.

-12x - 9 + 24x + 4 = 43

Combine like terms.

12x - 5 = 43

Add 5 to both sides.

12x = 48

Divide by 12 on both sides of the equation.

x = 3 <- This is the answer.

#teamtrees #PAW (Plant And Water)

Leave any questions you have, put it in the comments below :)

The area of this shape is 24 square units. Which of these statements is true about the area ?​

Answers

D.

Because the area of an object is number of square units or square grids inside the shape.

Answer:

D.

Step-by-step explanation:

Mr. jovanovski is having wood flooring

Answers

Answer:

By definition the area of a rectangle is:

A = l * w

Where,

l: long

w: width

So we have to clear the width:

w = A / l

Substituting the values:

w = (234) / (18) = 13

w = 13 feets

answer

the width, in feet, of the room is 13

Step-by-step explanation:

please help with math

Answers

1.) - sqrt. 2 (which, in decimal, is about -1.4142…) , 0, sqrt. 5 (which, in decimal, is about 2.2360…) , 13/4

2.) -1.5, 3/4 (which, in decimal, is 0.75) , 3, sqrt 10 (which, in decimal, is about 3.1622…)

3.) -3/2 (which, in decimal, is -1.5), -3/7 (which, in decimal, is about -0.4285…) , 0.75, 2

Is 4 or 3 bigger in a integer

Answers

Answer:

4 is bigger than 3

Step-by-step explanation:

4 is bigger than 3

But

-3 is bigger than - 4

A worker earns the same amount for each
hour. If he earned $48.00 in 3 hours, how
much would he earn in 8? In 40?

Answers

Answer: 8 hours= $128      40 hours= $640

Step-by-step explanation:

$48.00 divided by 3 = $16.00 an hour. so 16x8=128 and 16x40=640

278 kg to pounds, rounded off to the nearest pound.

Answers

Answer:

About 613 pounds

Step-by-step explanation:

1 : 2.20462262

278 : 612.885089

612.885089 --> 612.89 --> 612.9 --> 613

please solve this question i need help​

Answers

Answer:

4c/2a 60 degrees 3bf 2ad

Answer:

f=120

b=40

d=140

e=120

c=30

a=30

HELP PLS IM BEGGING YOU PLS HELP, its due todayyy pls. Angle CBD is the only one i got right and the rest is wrong. I dont know how to answer it anymore.

Answers

Answer:

try It would be number 81

Step-by-step explanation:

Abc= 110

ceo=70

dbe=110 or 120

and abe= 60 70 or 81

Answer:

ABC=112 degrees

DBE=112 degrees

ABE=68 degrees

Step-by-step explanation:

CBD=ABE

ABE=68 degrees

First let's take these as X,

ABC=DBE=X(Vertically opposite angles)

ABC+DBE+CBD+ABE=360(angles around a point)

   x  + x     +68   +68  =360

      2x        +136        =360

                       2x       =360-136

                       2x       =  224

                             x    =112 degrees

therefore;

   ABC=112 degrees

   DBE=112 degrees

Simplify show all steps thirty POINTS!

Answers

6a + 3
Hope it helped
I think it’s 2a+3
Since you have to divide 6a AND 9 by 3 :)

Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept -3

Answers

Answer:

It is

[tex]{ \underline{ \sf{y = - \frac{3}{2}x - 3 }}}[/tex]

Step-by-step explanation:

General equation:

[tex]{ \sf{y = mx + c}}[/tex]

m is the slope

c is the y-intercept

[tex]y = - \frac{ 3}{2} x - 3[/tex]


If a >b, then A must be positive number.

Answers

Step-by-step explanation:

NO,IT DEPENDS UPON SITUATIONS

IF B IS -5 THEN A CAN BE -2,-4,-3 OR 1 ,2,3,4,......

(-8, -2) and (1, 9) find the slope

Answers

Answer:

11/9

Step-by-step explanation:

To find the slope

m = ( y2-y1)/(x2-x1)

    = ( 9 - -2)/(1 - -8)

    = ( 9+2)/ (1+8)

    = 11/9

find the midpoint of R(5,3) and S(-4,6) PLEASEEE

Answers

Answer:

(0.5, 4.5)

Step-by-step explanation:

midpoint formula:

((sum of the two x values)/2, (sum of the two y values)/2)

= ((5+(-4))/2 , (6+3)/2)

= (0.5, 4.5)

Other Questions
heres the lineeeeeeeeeeeeeeeeeeeeee (X^2 - 4) (X^2 + 3X - 5) A 29-year-old man presents with an acute onset of severe pain to the left upper quadrant of his abdomen. He is conscious and alert and states that he is very thirsty. The EMT should: Please help me I will mark brainliest :) a=23 an= 5 n=10 find d Fill in the blank to complete this trigratio.ysin a =[?]aNA00N the quotient of a number and 3 What ethical concerns might arise from applying new IT to law enforcement? what......name? A.Your B.Is C.b in which sell duplet rule is applied, why? What is the approximate elevation in meters at the midpoint between El Paso and Port Arthur? Please help Im begging my first question!!! How are the Torah and the Christian Bible similar? How are they different?The Torah is the Old Testament, while the Christian Bible contains the Old and New Testament.The Torah is a record of past events, while The Christian Bible is a moral guide.The Torah and the Christian Bible are exactly the same.The Torah is the Old Testament, while the Christian Bible is only the New Testament. plz help me I need help PUHLESEEEEEE HELPPPPPP Question 19 of 25Which development resulted from the Supreme Court's Citizens United v. FECruling in 2010?A. The first super PACs were formed.B. Candidates could no longer use public funds for their campaigns.C. The Federal Election Commission was eliminated.D. Corporations and unions could not run ads in the weeks before anelection.SUBMIT The periodic table below shows major regions in different colors. Which answer choice describes the noble gases?A. All of the elements of Period 1 in orange boxesB. The two separate rows of elements in dark and light blue boxes at the bottomC. All of the elements in green boxesD. All of the elements of Group 18 in orange boxes HelpWhen iis written as a decimal, how many digits are in the smallest sequence of repeatingdigits?OA) 3B) 2OC) 1D) 0 How is your life today similar to or different from Jadzia's? Multiply (-4) (-2) (-5)-40-8840 Right answer gets brainlist