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Chapter 3: Q. 3.112 (page 396)

Rameen鈥檚 heating bill is \(5.42 per month plus \)1.08 per therm. How many therms can Rameen use if he wants his heating bill to be a maximum of $87.50?

Short Answer

Expert verified

Rameen can use 76therms.

Step by step solution

01

Step 1. Given information

We have been given that Rameen鈥檚 heating bill is $5.42 per month plus $1.08 per therm.

We have to find how many therms can Rameen use if he wants his heating bill to be a maximum of $87.50.

02

Step 2. Translate the given information into an inequality. 

Choose a variable to represent that quantity.

x=numberoftherms

Rameen鈥檚 heating bill is $5.42 per month plus $1.08 per therm.

5.42+1.08x鈮�87.5

03

Step 3. Solve the inequality  

5.42+1.08x鈮�87.51.08x鈮�87.5-5.421.08x鈮�82.08x鈮�82.081.08x鈮�76

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