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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.

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shinmin

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

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