Aroofing contractor purchases a shingle delivery truck with a shingle elevator for $42,000. the vehicle requires an average expenditure of $9.50 per hour for fuel and maintenance, and the operator is paid $11.50 per hour. write a linear equation giving the total cost c of operating this equipment for t hours. (include the purchase cost of the equipment.)

Step-by-step explanation:

There are two costs for the operation of the equipment, the purchase cost and the hourly cost. The total cost is the sum of these two costs:

So

In which is the fixed cost and is the hourly cost.

Fixed cost

A roofing contractor purchases a shingle delivery truck with a shingle elevator for $42,000. This means that the fixed cost is 42000. So

Hourly cost

The vehicle requires an average expenditure of $9.50 per hour for fuel and maintenance, and the operator is paid $11.50 per hour. So for each hour, there are expenses of 9.5 + 11.5 = $21.

So the hour cost is

In which t is the number of hours

Total cost

a negative exponent is translated as follows:

so, we have

2nd one in the first row is correct