Question

The total cost, C, to attend a swim meet for a swimmer competing in x events can be modeled using a linear function. Each swimmer will pay a $3.00 entry fee for each event and $8.00 for lunch. Each swimmer may sign up for a maximum of 5 events. What is the range of the function for this situation?

Answer 1

The range is between $11 to $23

Explanation:

let the total cost be c

let the number of events be x

the linear model is

c=3x+8

therefore for 1 event

c=3(1)+8

c=3+8

c=11

=$11

therefore for 5 events

c=3(5)+8

c=15+8

c=23

=$23

The range is between $11 to $23