Question

MODELING WITH MATHEMATICS At 8:00 A.M., the temperature is 43°F. The temperature increases 2°F each hour for the next 7 hou

Answer 1

Since the temperature keeps increasing by 2°F each hour for the next 7 hours, the graph will be a straight line graph.

Let T be temperature

t be the time at temperature T

At t₁ = 0, T₁ =  43°F

At t₂ = 1, T₂ = 45°F (temperature increase by 2°F)

Using the straight-line formula to get the equation of the graph. The equation is expressed as T = mt + b

• m is the slope
• b is the intercept

Get the slope

$m=\frac{T_2-T_1}{t_2-t_1}\\ m=\frac{45-43}{1-0}\\m=\frac{2}{1} \\m = 2$

Get the intercept

Substitute m = 2 and the coordinate (0, 43) into the expression

43 = 2(0) + b

43 = b

b = 43

Get the equation of the line

T = 2t + 43

Graph the equation of temperature over time

Learn more here: brainly.com/question/17003809