Linear Equation: Calculate Hours of AC Usage at $1 per Hour = $180

Question

Sarah pays 1foreveryhourofairconditioningsheoperates.Lastmonthshepaid1801 for every hour of air conditioning she operates. Last month she paid 180.

Write an equation to find out how many hours the air conditioner was on that month.

Video Solution

Solution Steps

00:00 How many hours did the air conditioner run this month?
00:03 Price per hour according to the given data
00:06 Total hours according to the given data
00:09 Let's mark the number of monthly hours as unknown X
00:12 Hourly rate multiplied by number of hours equals total price
00:15 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Set up the equation based on the given information.
  • Step 2: Solve the equation to find the number of hours.

Now, let's work through each step:
Step 1: We know that Sarah pays 1 for every hour the air conditioner is on. Therefore, the equation representing the total cost is:
\( 180 = 1 \times h

Step 2: Solve this equation for h h . Since 1×h=h 1 \times h = h , the equation simplifies to:
h=180 h = 180

Therefore, the solution to the problem is h=180 h = 180 .

Answer

180

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