Juan recently entered into a contract for a cell phone plan. The table shows the monthly cost in dollars, f (x), if Juan sends x text messages.

What type of function is represented?

linear

quadratic

logarithmic

exponential

A linear function is represented

Step-by-step explanation:

The table is:

x f (x)

0 10.00

1 10.02

2 10.04

3 10.06

4 10.08

5 10.10

If we compute the difference between two consecutive function values and we divide it by the difference between their associated x values we get:

(10.02 - 10.00) / (1-0) = 0.02

(10.04 - 10.02) / (2-1) = 0.02

(10.06 - 10.04) / (3-2) = 0.02

(10.08 - 10.06) / (4-3) = 0.02

(10.10 - 10.08) / (5-4) = 0.02

This constant result indicates that a linear function is represented.