SOLUTION: On a certain day, the temperature was 37 Fahrenheit at 10am and 49 fahrenheit at 1pm. if the temperature rose at a constant rate from 10am to 1pm on that day, what was the temperat

Question 969646: On a certain day, the temperature was 37 Fahrenheit at 10am and 49 fahrenheit at 1pm. if the temperature rose at a constant rate from 10am to 1pm on that day, what was the temperature at 11am?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
(t,F) points.
If 10AM is time t=0, then points (0,37) and (3, 49). The first point serves as a vertical axis intercept.

, t=0 corresponds to 10AM.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
On a certain day, the temperature was 37 Fahrenheit at 10am and 49 fahrenheit at 1pm. if the temperature rose at a constant rate from 10am to 1pm on that day, what was the temperature at 11am?

Let x be time, with starting time being x = 0. Then y is the temperature at a particular time of the day
We then get:
Points: (0, 37) and (3, 49)
Slope or m = , or m = 4

, or -------- Equation representing temperature at a certain time of the day
Since 11am is the 1st hour, or hour 1 after 10am, then becomes: , or .
Therefore, temperature, 1 hour after 10am, or at 11am =
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