Solved on Jan 13, 2024
The oven's temperature, (in F), increases by per minute according to the line of best fit . What does the slope of represent?
STEP 1
Assumptions
1. The given equation for the line of best fit is .
2. The variable represents the temperature of the oven in degrees Fahrenheit.
3. The variable represents the time in minutes after the oven is turned on.
4. The slope of the line represents the rate of change of the temperature with respect to time.
STEP 2
Identify the slope of the line from the equation of the line of best fit.
The general form of a linear equation is , where is the slope and is the y-intercept.
STEP 3
Compare the given equation with the general form of the linear equation to identify the slope.
The slope corresponds to the coefficient of in the equation.
STEP 4
Determine the slope from the given equation.
The slope is 30 in the equation .
STEP 5
Interpret the meaning of the slope in the context of the problem.
The slope of 30 represents the rate at which the temperature increases for each additional minute the oven is on.
STEP 6
Choose the correct interpretation of the slope from the given options.
The slope is 30, and it represents the increase in temperature, in degrees Fahrenheit, each minute the oven is on.
The solution is that the slope is 30, and it represents the increase in temperature, in degrees Fahrenheit, each minute the oven is on.
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