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Grace [21]
3 years ago
8

In the form of a paragraph, explain in complete sentences, your answers to the following questions. Include the final answer in

your explanation. Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Lisa is an avid runner and is training for a marathon. This week, over a span of six days, she ran a total of 38.4 miles. The distances, in miles, that Lisa ran throughout the week are as follows: 3.2, 7.5, 9.8, 11.5, 2.9, 3.5. What was the average distance of each run? Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?
Mathematics
1 answer:
Yanka [14]3 years ago
4 0
Lisa is an avid runner and is training for a marathon, so she runs everyday to achieve this purpose. In this way, she goes out to run for six days, so we have the following data set regarding the miles she runs:

1st day  = 3.2    miles
2nd day = 7.5    miles
3rd day  = 9.8    miles
4th day  = 11.5  miles
5th day  = 2.9    miles
6th day  = 3.5    miles

<span>Finally, she ran a total of:

3.2+7.5+9.8+11.5+2.9+3.5 = 38.4 miles

</span><span>What was the average distance of each run? 

This result can be get as the sum of each run (or the </span>total of miles she run<span>) divided by the numbers of days she ran.

</span>A=\frac{38.4}{6}=6.4mi

<span>Lisa's goal for this week is to run an average of 6 miles per day. How many miles does she need to run tomorrow (the 7th day) in order to achieve her goal of 6 miles per day for the week?

Let's name x the distance she must run tomorrow. Therefore, the equation for this purpose is given as follows:

</span>\frac{3.2+7.5+9.8+11.5+2.9+3.5+x}{7}=6

∴ \frac{38.4+x}{7}=6

Isolating x:

38.4+x=42

∴ x=42-38.4=3.6

Therefore, she need to run:

\boxed{3.6mi} in order to achieve the goal of 6 miles per day.

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