Question

The Miller family wants to join a public swimming pool that charges a fee of $25.00 per year and then $3.00 for each visit.

A. Draw a graph to show the yearly cost to the Miller family.
B. Can the cost be represented by linear function? why or why not?
C. Write a function to model the yearly cost to the Miller family. Make sure to define variables.
D. If the pool decided to charge $3.50 per visit, how would you graph change?

Answer 1

B) Yes

C) C = 3x + 25

Explanation:

Given that:

Yearly charge = $25

Charge per visit = $3

The yearly cost will depend on the number of visits for the year :

B.) Cost can be represented by a linear function, as the graph it yields is a straight line graph having intercept and slope.

C.) C = mx + b

Where ;

b = intercept = yearly cost

m = slope or gradient = cost per visit

C = total cost

x = number of visits

Hence,

C = 3x + 25