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Rachel is planning to run an average of 6.4 miles over three consecutive days. On the first day, she ran 6.6 miles, and on the second day, she ran 6.5 miles. What is the maximum number of miles Rachel can run on the third day without going over the planned average of 6.4 miles per day?

Respuesta :

6.6+6.5=13.1 6.4*3=19.2 19.2-13.1=6.1 she can run 6.1 miles

The third day Rachel runs 16.1 miles.

What is average?

"The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values".

For the given situation,

Rachel's running schedule on daily basis:

First day, n1= 6.6 miles

Second day, n2 = 6.5 miles

Third day, n3 be 'x'

Number of days, n = 3

Average, A = 6.4 miles.

Formula to find average, A = (n1 + n2 + n3)/n

⇒[tex]6.4=\frac{6.6+6.5+x}{3}[/tex]

⇒[tex]6.4[/tex] × [tex]3[/tex] = [tex]6.6+6.5+x[/tex]

⇒[tex]19.2=13.1+x[/tex]

⇒[tex]19.2-13.1=x[/tex]

⇒[tex]x=16.1[/tex]

Hence we can conclude that on the third day Rachel runs 16.1 miles.

Learn more about average here

https://brainly.com/question/993795

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