Question

COLLEGE Troy’s grandfather gave him $700 to start his college savings account. Troy’s grandfather also gives him $40 each month to add to the account. Troy’s mother gives him $50 each month but has been doing so for 4 fewer months than Troy’s grandfather. Write a simplified expression for the amount of money Troy has received from his grandfather and mother after m months.

Answer 1

Answer: 90m + 860

Explanation:

The amount of money Troy has received m months after his mother started giving him money is:

90m + 860.

Answer 2

Simplified expression for the amount is 10(9m + 50)

Explanation:

• Step 1: Form an equation for the amount of money Troy has received after m months.

If the total months that Troy's grandfather has given him money is m, then the number of months that Troy's mother has given him money is m - 4.

⇒ Total amount in account = 700 + 40m + 50(m - 4)

= 700 + 40m + 50m - 200

= 90m + 500 = 10(9m + 50)