Question

Graph the data. Then find and interpret the slope of the line through the points.

Answer 1

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

$The \ slope =\dfrac{\Delta y }{\Delta x} = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} = \dfrac{7.5 - 1.5}{5 - 1} = 1.5$

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.