Question

The cost, in dollars, for an appliance repair at a certain company is \(1.2p + 20h\), where \(p\) is the wholesale price of the parts, in dollars, and \(h\) is the number of hours it takes to repair the appliance. What is the cost of repairing an appliance if the wholesale price of the parts is $15 and it takes 2 hours to repair it?

• A. $12
• B. $18
• C. $20
• D. $40
• E. $58

Hint:

Be careful with the order of operations (PEMDAS/BODMAS). In this case, perform the multiplications first before adding the results.

Answer 1

Answer: (E)

Step 1: Understanding the Concept:
This is a "plug and chug" problem. We are given a formula and the values for the variables in it. We need to substitute the values into the formula and calculate the result.
Step 2: Key Formula or Approach:
The formula for the cost (\(C\)) is given as:
\[ C = 1.2p + 20h \] Step 3: Detailed Explanation:
We are given the following values:
- Wholesale price of parts, \(p = $15\).
- Number of hours, \(h = 2\).
Substitute these values into the cost formula:
\[ C = 1.2(15) + 20(2) \] Calculate each term separately:
- The cost of parts: \(1.2 \times 15 = 18\).
- The cost of labor: \(20 \times 2 = 40\).
Add the two terms to find the total cost:
\[ C = 18 + 40 = 58 \] The total cost of the repair is $58.
Step 4: Final Answer:
The calculated cost is $58, which corresponds to option (E).