Question

Admission to school carnival costs $10, and each activity costs $2. What type of function should be used to model the total amount spent by each person that attends the carnival?

a. exponential
b.linear
c. neither
d. cannot be determined

Answer 1

b.linear

Explanation:

we know that

The linear equation in slope intercept form is given by

`y=mx+b`

where

y is the total amount spent

x is the number of activities

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have that

The slope or unit rate of the situation is equal to

`m=\$2\ per\ activity`

The y-intercept or initial value is equal to

`b=\$10`

substitute the given value

The equation that represent this problem is

`y=2x+10`

therefore

The situation can be modeled with a linear function