Answer:
4. The slope is 1.5 pages per minute
The interpretation is 1.5 pages takes 1 minute to complete
5. The slope is 135 Calorie per mile
The interpretation is 135 calories of energy is required or used in traveling a distance of 1 mile
Step-by-step explanation:
4. The given data are;
Minutes, x; 0, 1, 3, 5
Pages, y; 0, 1.5, 4.5, 7.5
The graph of the data created with MS Excel is included
From the graph, we have;
The slope is given by the rate of change of the y-values to the change in the x-values of the data
∴ Slope = Δy/Δx
[tex]The \ slope =\dfrac{\Delta y }{\Delta x} = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} = \dfrac{7.5 - 1.5}{5 - 1} = 1.5[/tex]
The slope = 1.5 pages per minute
The interpretation of the slope is that the number of pages completed per minute is 1.5 pages
5. The given data are;
Miles, x; 0, 1, 2, 3
Calories, y; 0, 135, 270, 405
Please find attached the graph of the data created with MS Excel
From the graph, the slope = Δy/Δx = (270 - 135)/(2 - 1) = 135
The slope = 135 Calorie per mile
The interpretation of the slope is it takes 135 calories to complete 1 mile or vice versa.
