Question

Daniel pays $496 in advance on his account at the athletic club. Each time he uses the club, $12 is deducted from the account. Write a linear function to calculate the value remaining in his account after visits to the club. Use the linear function to find the value remaining in the account after 20 visits.

Answer 1

`b = 496 - 12v`

The balance is $256

Explanation:

Given

`Payment = \$496`

`Deduction = \$12`

Required

Determine the balance after 20 visits

Represent the balance with b

Represent the visitation with v

The relationship between the given parameters is:

`Payment = Deduction * Visitation + Balance`

This gives:

`496 = 12 * v + b`

`496 = 12v + b`

Make b the subject

`b = 496 - 12v`

To get the actual balance after 20 visitation;

Substitute 20 for v

`b = 496 - 12 * 20`

`b = 496 - 240`

`b = 256`

Hence:

The balance is $256