Question

An air conditioning repair services charges $85.00 per hour, plus a diagnosis fee of $75.00. If the repair costs a total of $385.00, which of the following equations best represents the situation?

Answer 1

$385.00 = $85.00 * 3.647 + $75.00

Explanation:

The equation that best represents the situation is:

Total Cost = Hourly Rate x Repair Time + Diagnosis Fee

In this case, the hourly rate is $85.00 and the diagnosis fee is $75.00. We are given that the total cost is $385.00. Let's represent the repair time as "t" in hours.

So, we can write the equation as:

$385.00 = $85.00 * t + $75.00

To solve for the repair time "t", we need to isolate the variable.

First, we subtract $75.00 from both sides of the equation:

$385.00 - $75.00 = $85.00 * t

Simplifying, we get:

$310.00 = $85.00 * t

Next, we divide both sides of the equation by $85.00 to solve for "t":

$310.00 / $85.00 = t

Using a calculator, we find that t is approximately 3.647, which means the repair time is approximately 3.647 hours.

Therefore, the equation that best represents the situation is:

$385.00 = $85.00 * 3.647 + $75.00

Answer 2

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