A mechanic charges $70 an hour plus the cost of parts to repair a vehicle. The parts cost $215 for the repair on Tamara's car.
A) write an expression for the total cost, C, of repairing Tamara's car for any numbers of hours, n.
B) use the expression you created in part a) to calculate the cost of repairs that take 3 1/2 h.
a)
C = 70n + 215
b)
C = (70 * 3.5) + 215
C = ?
Thank you
You're welcome.
The graph represents a mechanic’s labor costs for a given number of hours of car repair.
Which statement describes the relationship between labor cost and time for a car repair?
All repairs requiring 1 hour or less have the same labor cost.
Labor costs the same no matter how many hours are used for a repair.
Labor costs for a repair are more expensive as the number of hours increases.
There is no cost of labor for a repair requiring less than 1 hour.
,m ,m ,m
A) To calculate the total cost of repairing Tamara's car for any number of hours, we need to consider the mechanic's charge for labor and the cost of parts.
The mechanic charges $70 per hour, so the cost of labor for any number of hours, n, would be 70n.
The parts cost $215.
Therefore, the expression for the total cost, C, of repairing Tamara's car for any number of hours would be:
C = 70n + 215
B) To calculate the cost of repairs that take 3 1/2 hours, we can substitute the value of n into the expression we derived in part A.
For 3 1/2 hours, we write n = 3.5.
Substituting this value into our expression:
C = 70(3.5) + 215
Calculating this expression:
C = 245 + 215
C = 460
Therefore, the cost of repairs that take 3 1/2 hours would be $460.