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In many parts of the United States, homeowners use a significant portion of their energy budget to heat their home in the winter. It has been determined that lowering a thermostat by 3°F in the winter can reduce the energy costs by about 10 percent in many homes. An individual homeowner lowers their thermostat by 3 degrees exactly halfway through the billing period. For the month that the thermostat was lowered, the heating bill was $95. How much money did the family save in the month in which they lowered the thermostat setting halfway through the billing period?

Answer :

Answer:

B. $5

Explanation:

$95/10 percent = 9.5

9.5/2 (because it is halfway through the billing period) = 4.75

4.75 rounded up to the nearest tenths place is 5.

A billing period is a duration of time that starts from the last closing date of the statement of the specific invoice. The billing amount fluctuates according to the usage of the services taken or used.

$5 will be saved by the family in a month when they lower the thermostat setting halfway through the billing period.

The amount can be estimated by:

Given,

  • The heating bill when the thermostat was lowered = $95
  • Reducing thermostats can reduce energy costs by = 10%

10% of the total bill will be:

[tex]\dfrac {\$95}{10\%} = 9.5[/tex]

Divide the value by 2 because the thermostat was lowered in the middle of billing time.

[tex]\begin{aligned} \dfrac{9.5}{2} & = 4.5\\ &= \$ 5\end{aligned}[/tex]

Therefore, 5$ was saved by the family.

Learn more about the billing period here:

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