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At 10 AM the temperature was 71°F 3 PM the temperature was 86°F find the value of the slope and explain what it means

User Iny
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1 Answer

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If you draw a graph of the temperature, you know two points
on the graph, (so naturally your graph is a straight line).

The two points are:

x = 10 hrs after midnight, y = 71°F
and
x = 15 hrs after midnight, y = 86°F

Whenever you have two points on a graph, the slope
of the line between them is

(y₂ - y₁) / (x₂ - x₁) .

Slope = (86° - 71°) / (15 hrs - 10 hrs) =

(15°) / (5 hours) = 3 degrees per hour .

What it means:

If the temperature was 71° at 10 AM and later it was 86° at 3 PM,
then from 10 AM until 3 PM the temperature increased at the
average rate of 3° per hour.

User Beingyogi
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7.2k points