Question

Adam earns $75 per week mowing lawns. This can be represented by the function f(x) = 75x. Each week he deposits this money into his bank account. At the beginning of January his bank account had a balance of $500 in it. Adam also makes a $45 withdrawal each week. The withdrawals from his account can be represented by the function f(x) = 500 - 45x. Write a function that can be used to represent his bank balance after n months, including his monthly deposit and withdrawal. A) f(n) = 500 - 30n B) f(n) = 500 + 30n C) f(n) = 12(500-30n) D) f(n) = 500 - (75n-45n)

Answer 1

Answer: option B is the correct answer

Explanation:

Adam earns $75 per week mowing lawns. Assuming that the number of weeks that he works can be represented as n months, that means that he works 75 × n = $75n in n months. This can be represented by the function f(n) = 75n

At the beginning of January his bank account had a balance of $500 in it.

Adam also makes a $45 withdrawal each week. This means he makes a withdrawal of 45 × n = $45n

The withdrawals from his account can be represented by the function f(n) = 500 - 45n

A function that can be used to represent his bank balance after n months, including his monthly deposit and withdrawal will be

f(n) = 500 + 75n - 45n

f(n) = 500 + 30n