Your cellular phone contract calls for a flat monthly service charge of $10.95 plus $0.12 per minute for calls within a certain
area to which you limit your calls. The table shows some cost data for your use of the phone.
|Number of Minutes
100
120
140
160
Monthly Cost (dollars)
22.95
25.35
27.75
30.15
Does the data represent a linear function? Why or why not?
a. No, the average rate of change is not C. There is not enough information to determine if
constant
this is a linear function.
b. Yes, the average rate of change is constant. d. No, this is not a linear function
Please select the best answer from the choices provided

Question

Today at 4:10 PM
Mathematics

Answered

Your cellular phone contract calls for a flat monthly service charge of $10.95 plus $0.12 per minute for calls within a certain
area to which you limit your calls. The table shows some cost data for your use of the phone.
|Number of Minutes
100
120
140
160
Monthly Cost (dollars)
22.95
25.35
27.75
30.15
Does the data represent a linear function? Why or why not?
a. No, the average rate of change is not C. There is not enough information to determine if
constant
this is a linear function.
b. Yes, the average rate of change is constant. d. No, this is not a linear function
Please select the best answer from the choices provided

Answer :

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harshapuranik179 harshapuranik179 · Answer 1 · 2025-03-23T16:15:38-04:00

harshapuranik179 harshapuranik179

Today at 4:15 PM

Answer:

For 100 calls the monthly cost = 10.95 + 0.95(100) = $ 22.95

120 calls = 10.95 + 0.95(120) = $ 25.35

140 calls = 10.95 + 0.95(140) = $ 27.75

160 calls = 10.95 + 0.95(160) = $ 30.15

Therefore it is constant

The answer is B. Yes, the average rate of change is constant

Hope this helps!

Answer Link

keshavgandhi04 keshavgandhi04 · Answer 2 · 2025-03-23T16:16:10-04:00

The average rate of change is constant so option (b) will be correct.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

Given,

For 100 calls cost of one month = 10.95 + 0.95 × 100 = $22.95

120 calls cost of one month = 10.95 + 0.95 × 120 = $25.35

Rate of change = 25.35 - 22.95 = 2.41

140 calls cost of one month = 10.95 + 0.95 × 140 = $27.75

160 calls cost of one month= 10.95 + 0.95 × 160 = $30.15

Rate of change = 27.75- 30.15 = 2.41

Since the average rate of change is constant so it will be a linear function.

For more about the linear function,

brainly.com/question/21107621

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