Question

To hire an accountant to prepare taxes costs a flat fee and an additional hourly rate. The amount the accountant costs can be modeled by the function A(x) = 150 + 35x, where x represents the number of hours the accountant works to prepare the taxes and 150 represents the flat fee. What is the value of A(220) and its interpretation?

Answer 1

The value of A(220) is 7850, which represents the total cost of hiring an accountant to prepare taxes if the accountant works for 220 hours.

Step-by-step explanation:

The given function that models the cost of hiring an accountant to prepare taxes is A(x) = 150 + 35x, where x represents the number of hours the accountant works and 150 represents the flat fee.

To find the value of A(220), substitute 220 for x in the function:

A(220) = 150 + 35(220)

Simplifying, we get A(220) = 150 + 7700

A(220) = 7850

The interpretation of A(220) = 7850 is that it represents the total cost in dollars of hiring an accountant to prepare taxes if the accountant works for 220 hours. The cost consists of a flat fee of $150 plus an additional $35 per hour for 220 hours.