Question: 6 Richard’s Heating and Cooling in Prescott, Arizona, charges $55 per hour plus a $30 service charge. Let x denote the number of hours required for a job and let y denote the total cost to the customer.

a. Find the equation that expresses y in terms of x.

b. Determine and .

c. Construct a table similar to Table 14.1 for the x-value 0.5, 1, and 2.25 hours.

Table 14.1

d. Draw a graph of the equation that you determined in part (a) by plotting the points from part (c) and connecting them with a line.

e. Apply the graph from part (d) to estimate visually the cost of a job that takes 1.75 hours. Then calculate that cost exactly by using the equation from part (a).