Question

Tire pressure automobile tire pressure increases about 1 psi (pound per square inch) for each 108f increase in air temperature. at an air temperature of 558f, a tire’s pressure is 30 psi. write an equation that models the tire’s pressure as a function of air temperature.

Answer 1

Make the table first:

Tire’s

Pressure | Air Tempt
---------------------------
　30　|　 55
　29　|　 45
　28　|　 35
　27　|　 25
　26　|　 15
　25　|　 5
24.5　|　 0

Solution:

P(24.5) = x(24.5 - 24.5) = 0
P(25) = x(25 - 24.5) = 5
　　　　　x(0.5) = 5 ------ so x has to be 10

To check:
P(26) = 10(26 - 24.5) = 15

P(T) = 10(T - 24.5)

P(33) = 10(33 - 24.5) = 85