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1.8.3 practice - functions
3. Water freezes at 0 Celsius and 32 Fahrenheit. Water boils at 100 Celsius and 212 Fahrenheit.
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1 8 3 practice functions 3 Water freezes at 0 Celsius and 32 Fahrenheit Water boils at 100 Celsius and 212 Fahrenheit â

Answer :

Answer:

A. C(F) = 5/9F -(17 7/9)

B. slope: 5/9

C. y-intercept: -17 7/9

Step-by-step explanation:

A.

The question tells us that the independent variable is the temperature in degrees Fahrenheit. Then the given ordered pairs are ...

(F, C) = (32, 0) and (212, 100)

The slope can be found from the slope formula:

m = (y2 -y1) / (x2 -x1)

m = (100 -0)/(212 -32) = 100/180 = 5/9

The y-intercept can be found from the slope-intercept equation for a line:

y = mx +b

b = y -mx

Using the first point, we have ...

b = 0 -(5/9)(32) = -160/9 = -17 7/9

Using the found values for m and b, the slope-intercept equation can be written ...

C(F) = 5/9F -(17 7/9)

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B.

The slope was found in part A to be 5/9. This means each degree Fahrenheit corresponds to 5/9 of a degree Celsius.

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C.

The y-intercept was found in part A to be -17 7/9. This means 0 °F corresponds to -17 7/9 °C.

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Rewritten by : Jeany

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