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

b.linear

Step-by-step explanation:

we know that

The linear equation in slope intercept form is given by

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

The y-intercept or initial value is equal to

substitute the given value

The equation that represent this problem is

therefore

The situation can be modeled with a linear function

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.