Question

At 5:00 a.m., the temperature outside was 66° F. By noon, the temperature had risen to 87° F. Which equation models the temperature y at time x?

Answer 1

If so, 87 - 66 = 21 / (12-5) = 3 degrees Fahrenheit per hour.

Answer 2

Answer: Equation representing the temperature y at time x is

`y=3x+51`

Explanation:

Since we have given that

At 5:00 a.m., the temperature outside was 66° F.

At x = 5, y = 66

By noon, the temperature had risen to 87° F.

At x = 12, y = 87

We will find "Slope of line first ":

`m=(y_2-y_1)/(x_2-x_1)\\\\m=(87-66)/(12-5)\\\\m=(21)/(7)\\\\m=3`

So, Equation that models the temperature y at time x would be

`(y-66)=3(x-5)\\\\y-66=3x-15\\\\y=3x-15+66\\\\y=3x+51`

Hence, equation representing the temperature y at time x is

`y=3x+51`