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Walter is trying to control his home energy costs. His bill consists of a monthly flat fee of 
$9 plus 
$0.07 per kilowatt hour of electricity used. If Walter does not want his electric bill to exceed 
$65 per month, what is the maximum whole number of kilowatt hours he can use?

Walter is trying to control his home energy costs. His bill consists of a monthly flat fee of $9 \$ 9 plus $0.07 \$ 0.07 per kilowatt hour of electricity used. If Walter does not want his electric bill to exceed $65 \$ 65 per month, what is the maximum whole number of kilowatt hours he can use?

Full solution

Q. Walter is trying to control his home energy costs. His bill consists of a monthly flat fee of $9 \$ 9 plus $0.07 \$ 0.07 per kilowatt hour of electricity used. If Walter does not want his electric bill to exceed $65 \$ 65 per month, what is the maximum whole number of kilowatt hours he can use?
  1. Determine Maximum Amount: Determine the maximum amount Walter is willing to pay for electricity usage.\newlineWalter does not want his electric bill to exceed $65\$65 per month. This is the total amount that includes the flat fee and the cost of electricity used.
  2. Subtract Flat Fee: Subtract the flat fee from the total maximum amount to find the maximum amount available for electricity usage.\newlineMaximum amount for electricity usage = Total maximum amount - Flat fee\newlineMaximum amount for electricity usage = $65\$65 - $9\$9\newlineMaximum amount for electricity usage = $56\$56
  3. Calculate Maximum Kilowatt Hours: Calculate the maximum number of kilowatt hours Walter can use by dividing the maximum amount for electricity usage by the cost per kilowatt hour.\newlineMaximum kilowatt hours = Maximum amount for electricity usage / Cost per kilowatt hour\newlineMaximum kilowatt hours = $56/$0.07\$56 / \$0.07 per kilowatt hour\newlineMaximum kilowatt hours = 800800
  4. Ensure Whole Number: Since Walter wants to know the maximum whole number of kilowatt hours, we need to ensure that the result from Step 33 is a whole number. In this case, it is already a whole number, so no further action is needed.

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