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3 years ago

7

it took jake 28 minutes to run 5km last months. this month he ran 5km in 21 minutes. by what percentage had jake improve his run

ning time?

2 answers:

mars1129 [50]3 years ago

6 0

Answer:

25%

Step-by-step explanation:

28-21=7

7/28=×/100

7×100=700

700÷28=25

anygoal [31]3 years ago

4 0

<em>Answer:</em>

<u><em>7</em></u>

Step-by-step explanation:

<em><u>Okay so, 28-21 =07 right</u></em>

<em><u>7 as a percent is 700% and the limit is 100% </u></em>

<em><u>so 700%/100%= 7</u></em>

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3 years ago

(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the

melisa1 [442]

Answer:

<u>Slope-intercept</u> form of a <u>linear equation</u>: $y=mx+b$

where:

$m$ is the slope
$b$ is the y-intercept

To determine the equation of the <u>line of best fit</u> from the given answer options, examine the relationship between the x and y values.

From inspection of the data, we can see that as x increases, y increases. Therefore, the <u>slope</u> of the equation will be <u>positive</u>.

(If the y-values decrease as the x-values increase, then the <u>slope</u> would be <u>negative</u>).

Therefore, we can immediately discount answer options B and D as they have negative slopes.

The x and y values are not very far away from each other. The options given for the slope are either 1.560 or 4.105. If the slope was 4.105, we would expect to see values of y that were further away from the x-values.

Therefore, the line of best fit is:

A: y = 1.560x - 4.105

To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).

Choose 2 points on the line of best fit: (4, 2) and (11, 13)

Use the slope formula with these points to calculate the approximate slope:

$\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57$

Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.

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