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
[tex]m=\frac{T_2-T_1}{t_2-t_1}\\ m=\frac{45-43}{1-0}\\m=\frac{2}{1} \\m = 2[/tex]
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
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