Question

A roofing contractor purchases a shingle delivery truck with a shingle elevator for $55,000. The vehicle requires an average expenditure of $5.50 per hour for fuel and maintenance, and the operator is paid $9.50 per hour. (a) Write a linear equation giving the total cost C of operating this equipment for t hours. (Include the purchase cost of the equipment.) C(t) = Correct: Your answer is correct. (in) Assuming that customers are charged $55 per hour of machine use, write an equation for the revenue R derived from t hours of use. R(t) = Incorrect: Your answer is incorrect.

Answer 1

Answer:

A) C(t) = 55000 + 15t

B) R(t) = 55t

Step-by-step explanation:

A) We are told;

The roofing contractor purchases a shingle delivery truck with a shingle elevator for $55,000.

The vehicle requires an average expenditure of $5.50 per hour for fuel and maintenance.

operator is paid $9.50 per hour

We want to find the total cost C in operating the equipment for t hours.

Thus;

Average expenditure for fuel maintenance = 5.5t

Amount paid to operator = 9.5t

Thus, total cost is;

C(t) = 55000 + 5.5t + 9.5t

C(t) = 55000 + 15t

B) customers are charged $55 per hour of machine use

Then for t hours, revenue is;

R(t) = 55t