Each day, Yimiko Exercise by first doing sit-ups and then running. Use hwr data and the trend line y= 9x+5 to estimate Yumiko's exercise time if she runs 5 mi.

Distance (mil): 1.5, 2, 2.5, 3, 3.5, 4
Time (min): 18, 23, 28, 34, 34, 40

Given:

Distance:   2      2.5    3    3.5    4

Time:        23      28    34   34   40

To find:

The scatter plot of the total time she exercises as a function of the distance she runs.

Solution:

Let y be the total time she exercise if she cover the distance x units..

From the given table, the ordered pairs are (2,23), (2.5,28), (3,34), (3.5,34) and (4,40).

Plot these points on a coordinate plane to get the scatter plot.

Now, the general equation of trend line is

where, a is slope and b is y-intercept.

Using graphing calculator, we get the trend line and value of slope and y-intercept.

The equation of trend line is

Therefore, the scatter plot of the total time she exercises as a function of the distance she runs is shown below and the equation of trend line is .

Given:

Distance:   2      2.5    3    3.5    4

Time:        23      28    34   34   40

To find:

The scatter plot of the total time she exercises as a function of the distance she runs.

Solution:

Let y be the total time she exercise if she cover the distance x units..

From the given table, the ordered pairs are (2,23), (2.5,28), (3,34), (3.5,34) and (4,40).

Plot these points on a coordinate plane to get the scatter plot.

Now, the general equation of trend line is

where, a is slope and b is y-intercept.

Using graphing calculator, we get the trend line and value of slope and y-intercept.

The equation of trend line is

Therefore, the scatter plot of the total time she exercises as a function of the distance she runs is shown below and the equation of trend line is .

y=8x+7.8

Step-by-step explanation:

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