Answer:
The bill is $1837.5
Step-by-step explanation:
Given
[tex]B = Bills[/tex]
[tex]T = Temperature[/tex]
[tex]B\ \alpha\ \frac{1}{T}[/tex] --- The variation
T = 35; when B = 210
Required
Find B when T = 40
[tex]B\ \alpha\ \frac{1}{T}[/tex]
Express as an equation
[tex]B = \frac{k}{T}[/tex]
Make k the subject
[tex]k = BT[/tex]
T = 35; when B = 210
[tex]k = 35 * 210[/tex]
[tex]k = 7350[/tex]
When T = 40, we have:
[tex]k = BT[/tex]
[tex]7350 = B * 40[/tex]
Make B the subject
[tex]B = \frac{7350}{4}[/tex]
[tex]B = 1837.5[/tex]
