Question

Will mark brainliest please help Debbie notices that the amount owed on her monthly heating bill varies inversely with the average outdoor temperature. Last month the average outdoor temperature was 35°F, and her bill was $210. If this month's average outdoor temperature is 40°F, what can Debbie expect her bill to be?

Answer 1

Answer:

The bill is $1837.5

Step-by-step explanation:

Given

$B = Bills$

$T = Temperature$

$B\ \alpha\ \frac{1}{T}$ --- The variation

T = 35; when B = 210

Required

Find B when T = 40

$B\ \alpha\ \frac{1}{T}$

Express as an equation

$B = \frac{k}{T}$

Make k the subject

$k = BT$

T = 35; when B = 210

$k = 35 * 210$

$k = 7350$

When T = 40, we have:

$k = BT$

$7350 = B * 40$

Make B the subject

$B = \frac{7350}{4}$

$B = 1837.5$