The linear equation relationship between the time in hours and the temperature is y = (2.67x + 60) ⁰F .
The relationship between the amount of time that has passed in hours and the temperature can be defined using the linear equation. The linear equation should follow this rule
y = mx + c
where y is the effect parameter, m is the gradien, x is cause parameter and c is the initial state of effect parameter.
The gradien can be found by using this formula
m = Δy / Δx
From the question above, the given parameters are
y = temperature
x = time
Δy = 2 ⁰F
Δx = 45 min = 0.75 hour
c = 60 ⁰F
Find the gradien
m = Δy / Δx
m = 2 / 0.75
m = 2.67
The relationship between temperature and time should be
y = mx + c
y = (2.67x + 60) ⁰F
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