MathyMcMathster
Answered

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Plz help me!!!
Emma notices that the amount owed on her monthly heating bill varies inversely with the average outdoor temperature. Last month the average outdoor temperature was 40°F, and her bill was $190. If this month's average outdoor temperature is 55°F, what will Emma’s monthly heating bill be?

Sagot :

Answer:

≈ $138

Step-by-step explanation:

let h be heating bill and t be average outdoor temperature

Given h varies inversely with t then the equation relating them is

h = [tex]\frac{k}{t}[/tex] ← k is the constant of variation

To find k use the condition h = 190 and t = 40 , then

190 = [tex]\frac{k}{40}[/tex] ( multiply both sides by 40 )

7600 = k

h = [tex]\frac{7600}{t}[/tex] ← equation of variation

When t = 55 , then

h = [tex]\frac{7600}{55}[/tex] ≈ 138.1818

That is monthly heating bill is approximately $138 ( to nearest whole number )

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