Question

Indicate the answer choice that best completes the statement or answers the question.

✓ The table shows the cost of long distance calls as a function of the number of minutes used. Is the cost a linear or nonlinear function of the
number of minutes used? Explain.
Number of Minutes 40 180 120 160 1200
Cost (S)
14.00 8.00
16.00 20.00
12.00

Answer 1

The correct answer is:

Option C: Linear; as x increases by 40 minutes and y increases by $4 each time. The rate of change is constant, so this function is linear.

Explanation:

Given is the table,

The input is x and output is y.

We can see from the table that the x-values are increasing 40 minutes after each input and the output is increasing by equal amount i.e. $4.

The rate of change remains the same.

Hence,

The correct answer is:

Option C: Linear; as x increases by 40 minutes and y increases by $4 each time. The rate of change is constant, so this function is linear.