Question

To perform car maintenance, a mechanic

charges for parts and $45 an hour for
labor. The total cost that Terri spent for
2 hour of car maintenance is $125.
Assume the relationship is linear. Find
and interpret the rate of change and the
initial value​

Answer 1

C = 35 + 45h

In the equation above $35 is the initial value which interprets the cost for motor parts and $45/hour is the rate of charge of the mechanic per hour.

Explanation:

Charges for parts and $45 per hour for labor that takes a mechanic for maintenance of a car.

It costs $125 as Terri spent 2 hours for car maintenance.

Since the function is linear, so we can write

125 = 45 × 2 + x {Where x is the charges for parts}

⇒ x = 35

Therefore, the equation that models the situation is given by

C = 35 + 45h ......... (1)

where C is the total cost and h is the number of hours.

Here, in equation (1) $35 is the initial value that interprets the cost for parts and $45/hour is the rate of charge of the mechanic per hour. (Answer)