Question

The receptionist at the ABC Moving and Storage calculated the total amount of money owed for an x-mile move according to the linear function below:

f(x)=1,965+0.32(x−660)
(where x>660 miles)
What can be concluded about how much the customer is charged?

a) The customer is charged a flat rate of $1,965 plus $0.32 a mile for every mile over 660 miles.

b) The customer is charged $1,965 and a 32% surcharge for every mile over 660 miles.

c) The customer is charged $1,965 plus $0.32 that doubles per mile over 660 miles.

d) The customer is charged $1,965 × a discount of $0.32 for mileage under 660 miles.

Answer 1

The customer is charged a flat rate of $1,965 plus an additional $0.32 for each mile over 660 miles according to the given linear function.

Step-by-step explanation:

You asked about the total amount of money owed for an x-mile move calculated by the function f(x) = 1,965 + 0.32(x−660), where x represents the number of miles traveled and the function is valid when x is greater than 660 miles. In this function, $1,965 is the base charge, which can be viewed as a flat rate for any move that is more than 660 miles. However, for every mile over 660 miles, there is an additional charge of $0.32 per mile. This is represented by the 0.32(x−660) part of the equation. So, the correct conclusion about the customer charges would be that the customer is charged a flat rate of $1,965 plus $0.32 a mile for every mile over 660 miles.