Question

Maria and Bridgette both belong to the same public pool and attend swim classes with a coach. Maria pays $105 for her season pass and 6 swim classes. Bridgette pays $135 for her season pass and 9 swim classes. What is an equation for the cost of a season pass and swim classes as a function of the number of swim classes attended? Explain what each variable represents and identify the initial value and the rate of change. Show your work.​

Answer 1

• T = 10s + 45

Explanation:

Since both Maria and Bridgette belong to the same public pool they pay same rate for season pass and each class.

Let the season pass be y and swim class cost be x.

Then according to given we have the following equations

• y + 6x = 105
• y + 9x = 135

Solve the system by elimination, subtract the equations

• y + 9x - y - 6x = 135 - 105
• 3x = 30
• x = 10

Find y

• y + 6*10 = 105
• y = 105 - 60
• y = 45

The initial value is 45 and rate of change is 10.

The equation for the total cost would be

• T = 10s + 45, where T - total cost, s - number of swim classes