A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the temperature has risen to 45 degrees. How long will it take for the temperature to rise to 60 degrees?

The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.

60 - 45 = 15 degrees

Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees

15 / 5 = 3 hours

MrRoyal MrRoyal · Answer 2 · 2022-01-07T12:26:19+01:00

It will take 3 hours for the temperature to rise to 60 degrees.

Represent time with x, and the temperature with y.

So, the given parameters can be represented using the following ordered pairs

(x,y) = (0,40) (1, 45), (x,60)

Start by calculating the slope using:

[tex]m = \frac{y_2-y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{45 -40}{1-0}[/tex]

[tex]m = 5[/tex]

Calculate the slope again, using a different set of points.

So, we have:

[tex]m = \frac{60 - 45}{x - 1}[/tex]

This gives

[tex]m = \frac{15}{x}[/tex]

Multiply both sides by x

[tex]mx = 15[/tex]

Divide both sides by m

[tex]x = \frac{15}m[/tex]

Substitute 5 for m

[tex]x = \frac{15}5[/tex]

[tex]x = 3[/tex]

Hence, it will take 3 hours for the temperature to rise to 60 degrees.

Read more about linear functions at:

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