Question

A school basketball team has an expense account and a fundraising account. After t weeks, the balance of the expense account is (500−60t) dollars and the balance of the fundraising account is (175+42t) dollars. a. Write an expression in simplest form that represents the total amount (in dollars) in both accounts after t weeks. An expression is ( ) dollars. b. What is the total amount (in dollars) in both accounts after 11 weeks? Amount after 11 weeks: $

Answer 1

a. 550-8t

b. 454 dollars

Explanation:

a. Calling t the number of weeks, the balance in the first account is

while the balance in the second account is

So, the total amount in both accounts is the sum of the balances of the two accounts:

b. To find the total amount in both accounts after 12 weeks, we just need to substitute t=12 into the total balance, and we find: