Answered

Kelly ran 2 miles burned 240 cal. The next day she ran 3 miles and burned 360 cal. The next day 4 miles 480 miles.If this pattern continues,how many cal. will she burn if she run 8 miles?

Verified Answer :

picklepops19

Kelly will burn 960 calories if she runs 8 miles

calculista

Answer:

\(960\ cal\)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form \(y/x=k\) or \(y=kx\)

Let

x-----> the number of miles

y------> the number of calories

For \(x=2\ miles, y=240\ cal\)

\(k=y/x=240/2=120\)

For \(x=3\ miles, y=360\ cal\)

\(k=y/x=360/3=120\)

For \(x=4\ miles, y=480\ cal\)

\(k=y/x=480/4=120\)

therefore

Is a linear direct variation

The equation is equal to

\(y=120x\)

so

For \(x=8\ miles\)

Find the value of y

substitute in the equation

\(y=120(8)=960\ cal\)

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