Time, t, in hours 0.5 1 1.5 2 2.5 3 Distance, d, in miles 3 6 9 12 15 18 The table above shows the distance traveled by a jogger who is jogging at a rate of 6 mph. It shows the distance traveled after various intervals of time. Find the slope (which is the same as the speed of the jogger) and graph that on a graph.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Time, t, in hours

0.5

1

1.5

2

2.5

3

Distance, d, in miles

3

6

9

12

15

18

 

The table above shows the distance traveled by a jogger who is jogging at a rate of 6 mph. It shows the distance traveled after various intervals of time. Find the slope (which is the same as the speed of the jogger) and graph that on a graph.

Expert Solution
Step 1: Determined the given data

Given :-

t(hr)
0.5
1
1.5
2
2.5
3
d(miles)
3
6
9
12
15
18

At every 0.5 hour jogger travels 3km hence, the graph would be a straight line with slope equal to the speed of the jogger i.e.,

On X-axis  we represent time in hours &

On Y-axis we represent distance travelled in miles 

(y - 3) = 6(x - 0.5)

y = 6x - 3 + 3

y = 6x

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