A homeowner collects data about the amount of oil, in gallons, used to heat the house per month for 5 months and the average monthly temperature, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function best fits these data.

Use the function A(t)to determine which of the following statements are true. Select all that apply.

A The homeowner would use about 82 gallons of oil to heat the house for a month with an average temperature of 10 °F.The homeowner would use about 82 gallons of oil to heat the house for a month with an average temperature of 10 ° F.

B The homeowner would use about 85 gallons of oil to heat the house for a month with an average temperature of 15 °F.The homeowner would use about 85 gallons of oil to heat the house for a month with an average temperature of 15 ° F.

C The homeowner would use about 0 gallons of oil to heat the house for a month with an average temperature of 68.5 °F.The homeowner would use about 0 gallons of oil to heat the house for a month with an average temperature of 68.5 ° F.

D The homeowner would use about 5 gallons of oil to heat the house for a month with an average temperature of 55 °F. The homeowner would use about 5 gallons of oil to heat the house for a month with an average temperature of 55 ° F.

E The homeowner would use about 96 gallons of oil to heat the house for a month with an average temperature of 0 °F.

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lhmarianateixeira lhmarianateixeira · Answer 1 · 2021-11-26T22:46:48+01:00

They are doing the calculations, we can say that the alternatives are:

A) True

B) False

C) False

D) False

E) True

For this exercise, the equation should be used:

[tex]A(t)=-1.4t+96[/tex]

So analyzing the first given statement we will have to:

[tex]A(t)=-1.4t+96\\t=10\\A(t)=-14+96=82[/tex]

Based on the calculations, this statement is true, for the second statement we will have:

[tex]A(t)=-1.4t+96\\t=15\\A(t)=-21+96=75[/tex]

From the calculations this statement is false, so for the alternative we will have:

[tex]A(t)=-1.4t+96\\t=55\\A(t)=-77+96=19[/tex]

From the calculations this statement is false, so for the alternative we will have:

[tex]A(t)=-1.4t+96\\t=0\\A(t)=96[/tex]

Based on the calculations, this statement is true.

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