Question

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?

Answer 1

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

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

Answer 2

Kelly will burn 960 calories if she runs 8 miles