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?

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 or

Let

x-----> the number of miles

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

For

For

For

therefore

Is a linear direct variation

The equation is equal to

so

For

Find the value of y

substitute in the equation

p

step-by-step explanation:

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.