Question

On January 22 in 1943, the town of Spearfish, South Dakota, set the record for the world’s fastest temperature change. At 7:30 a.m., the temperature was `-4`°F. By 7:32 a.m., the temperature was `45`°F. By 9:00 a.m. the same day, the temperature was `54`°F. By 9:27 a.m., the temperature was `-4`°F. How many degrees did the temperature change each minute from 9:00 to 9:27? Make sure to show whether the change was positive or negative.

Answer 1

The average rate of change between from 9:00 to 9:27 is 2.15°F increase per minute

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Let y represent the temperature at x time.

By 9:00 a.m. the same day, the temperature was 54°F. By 9:27 a.m., the temperature was -4°F

m = (-4 - 54)/27 minutes = -2.15

The average rate of change between from 9:00 to 9:27 is 2.15°F decrease per minute

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