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bekas [8.4K]
3 years ago
5

Darla is training for a marathon. She starts out running 1.5 miles and plans to add additional miles each week. Below is a scree

n shot from her fitness tracker app on her phone.
Part a: assuming that this pattern of running continues for darla, write an equation that could be used to find the number of miles she runs for any number of weeks.

Part b: to complete a marathon, you must run 26.2 miles. Using the table and/or equation, will darla be able to complete a marathon after 14 weeks of training?

Mathematics
1 answer:
diamong [38]3 years ago
6 0
Part A:
As we can see on this table, Darla run 3 miles the first week. Then she began running 1.5 miles each week (4.5 - 3 = 1.5; 6 - 4.5 = 1.5; etc...). Let x be the number of weeks. But since the first week is different from the others, we need to remove 1 from x.
The equation is: 1.5(x-1) + 3

Part B:
To know how much she can run in 14 weeks, we replace x by 14 in the previous equation.
1.5x + 3 = 1.5 * 14-1 + 3 = 1.5*13 + 3 = 22.5

So no, she can't run 26.2 miles in 14 weeks.
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Can any kind soul help me ASAP!​
CaHeK987 [17]

Answer:

Hope it helps u

Step-by-step explanation:

As we know that ,

Mean = sum of the terms/ numbers of terms

But here grouped data is given so , we use the formula

Mean=∑[f. m]/ ∑f

where f is frequency and m is mid point of each height ,

Now first we have to find the mid point of each interval, where

midpoint of each interval = (lower boundary + upper boundary)/2

m1=(150+154)/2 = 152

m2=(155+159)/2= 157,now found other by same formula, for each interval

m3= 162

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m5=172    Now we find the midpoint of each interval ,so now

∑[f. m]=f1*m1+f2*m2+f3*m3+f4*m4+f5*m5

now putting the values of each frequency for given interval and midpoint of each interval we will get,

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Now find,

∑f=f1+f2+f3+f4+f5

∑f=19+x

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∑[f. m]=167*x+3038

∑f=19+x

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x=32.4/5.4

<h2>x=6   Ans........</h2>

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