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

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.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

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1

Understand the problem

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.

2

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 1ร—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 .

3

Final Answer

180

Practice Quiz

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

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

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