Question

A swim pass costs $30 for the first month. Each month after that, the

cost is $20 per month. Riley wants to swim for 12 months.
The sequence for this situation is arithmetic. What is the
first term of this sequence?
What is the common difference?
The 12th term will be the amount Riley spends for a
one-year swim pass. Write the equation for finding the
total cost of a one-year swim pass.
What is the total amount of money Riley will spend for
a one-year swim pass?

Answer 1

- What is the first term of this sequence?

30

- What is the common difference?

20

- Write the equation for finding the total cost of a one-year swim pass.

c = 20t + 10, c = cost, m = months

- What is the total amount of money Riley will spend for a one-year swim pass?

Riley will spend $250 for a one-year swim pass.

Explanation:

- What is the first term of this sequence?

30, because the first month costs $30.

- What is the common difference?

20, because the cost between one month and the next is $20.

- Write the equation for finding the total cost of a one-year swim pass.

c = 30 + 20(t - 1) = 20t + 10, c = cost, m = months

- What is the total amount of money Riley will spend for a one-year swim pass?

c = 20(12) + 10 = 240 + 10 = 250