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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?

Respuesta :

picklepops19
Kelly will burn 960 calories if she runs 8 miles
calculista

Answer:

[tex]960\ cal[/tex]

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 [tex]y/x=k[/tex] or [tex]y=kx[/tex]

Let

x-----> the number of miles

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

For [tex]x=2\ miles, y=240\ cal[/tex]

[tex]k=y/x=240/2=120[/tex]

For [tex]x=3\ miles, y=360\ cal[/tex]

[tex]k=y/x=360/3=120[/tex]

For [tex]x=4\ miles, y=480\ cal[/tex]

[tex]k=y/x=480/4=120[/tex]

therefore

Is a linear direct variation

The equation is equal to

[tex]y=120x[/tex]

so

For [tex]x=8\ miles[/tex]

Find the value of y

substitute in the equation

[tex]y=120(8)=960\ cal[/tex]

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