Mathematics Middle School

Question:
A running club keeps track of the number of hours each person has trained for a race and the length of time it takes the person to run the race. A scatter plot is graphed with the x-axis indicating the number of hours a runner has trained and the y-axis indicating the time, in minutes, it took to run the race. The equation y = 60 - 0.5x is used as the line of best fit of the data. What does the slope of the equation represent?

options:

a
Runners will decrease their race time by 2 minutes for every 1 hour they have trained.
b
Runners will increase their race time by 2 minutes for every 1 hour they have trained.
c
Runners will increase their race time by 1 minute for every 2 hours they have trained.
d
Runners will decrease their race time by 1 minute for every 2 hours they have traine

Answers

Answer 1

The solution is, 60 minutes is a good prediction of how long it will take Tom to run the 6 mile race.

What is scatter plot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

Here, we have,

We are given the scatter plot which shows the distance he has run and the time it took for each run.

We are asked to determine a good prediction of how long it will take Tom to run the 6 mile race?

One way to predict the time is by drawing a line that best fits the given data.

As you can see, from the line of best fit, the time corresponding to the 6 miles is around 60 minutes.

Therefore, 60 minutes is a good prediction of how long it will take Tom to run the 6 mile race.

Read more on scatter plot here:

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complete question:

Tom is training for a 6 mile race. The following scatter plot shows the distance he has run and the time it took for each run. What is a good prediction of how long it will take Tom to run the 6 mile race?A) 55 minutes B) 50 minutesC) 60 minutes D) 70 minutes

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