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

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.

Step-by-step 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)

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