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The freezing point of water in degrees Celsius is 0 while in degrees Fahrenheit it is 32. The boiling point of water is 100 degrees Celsius and 212 degrees Fahrenheit. Given that the function F is linear, use this information to find an equation for F

Answer :

The function F to be used to convert the temperature is; F = ⁹/₅C + 32

How to Solve Algebra Word Problems?

From the given information, we can tag the coordinates as;

(32,0) and (212,100)

Thus, the slope is calculated as;

m = (100-0)/(212-32)

m = 100/180

m = 5/9

The intercept is;

c = y - mx

c = 0 - (5/9)(32)

c = 0 - 160/9

c = -160/9

The line equation is;

y = 5/9 x + (-160/9)

y = 5/9 x - 160/9

y = 5/9 (x - 32)

Let x = F and y = C and we have;

F = ⁹/₅C + 32

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