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: $

Question

Mathematics

Sara Harvey

30 August, 20:04

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: $

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Simon · Answer 1

a. $ (675-18t)

b. $477

Step-by-step explanation:

a. We are to write an expression that shows the total amount in both accounts.

Mathematically that would be; amount in the expense account + amount in the fund raising account

That would be; 500-60t + 175 + 42t = 500+175-60t + 42t = 675 - 18t

The total amount in both accounts is $ (675 - 18) after t weeks

B. after 11 weeks, what we do is to just substitute the value of 11 for t in the added equation above

Thus;

675 - 18t = 675-11 (18) = 675 - 198 = $477