Question

LAST QUESTION FOR @jim_thompson5910
Assume a 125 pound person burns 150 calories after 15 min of jogging and 200 calories after 20 min of jogging.
Part 1: Use calories as the y- coordinate and minutes as the x-coordinate. After writing two ordered pairs, find the slope. What does the slope represent in terms of the info provided?

Answer 1

Part 2: write an equation, in slope intercept form, to represent this data.

Answer 2

Part 3: How many calories will this person burn after 35 min of jogging? using complete sentences, explain how the equation, slope, or graph can help to predict calories burned.

Answer 3

@jim_thompson5910

Answer 4

First identify the points you are working with

Answer 5

So one point for instance is (15, 150) because x = 15 and y = 150 (we're told that this person "150 calories after 15 min of jogging")

Answer 6

What is the other point?

Answer 7

20,200

Answer 8

now find the slope of the line through those two points

Answer 9

how :/

Answer 10

subtract the y coordinates to get ??

Answer 11

200 - 150 = 50

Answer 12

now subtract the x coordinates IN THE SAME ORDER

Answer 13

-5

Answer 14

finally, divide the difference in y by the difference in x

Answer 15

(50)/(-5) = ??

Answer 16

oh wait, it should be +5 not -5

Answer 17

10

Answer 18

so that's the slope

Answer 19

what does it mean in this context?

Answer 20

ummm

Answer 21

how much he lost per minute

Answer 22

maybe lol

Answer 23

you got it

Answer 24

ok can you put part 1 together? lol

Answer 25

he burns 10 calories a minute

Answer 26

wanna give it a shot and I'll tell you if you did it right or not?

Answer 27

to put it together?

Answer 28

yeah

Answer 29

(15,150)
(20,200)
slope:10
He burns 10 calories a min

Answer 30

add in

(200-150)/(20-15) = 50/5 = 10

Answer 31

before slope?

Answer 32

done...

Answer 33

yeah

Answer 34

now part 2

Answer 35

y = mx+b

y = 10x+b

150 = 10(15) + b

150 = 150+b

..

b = ??

Answer 36

0 ?

Answer 37

so the equation is y = 10x

Answer 38

ok... got it! now part 3?

Answer 39

@jim_thompson5910

Answer 40

plug in x = 35 and tell me what you get

Answer 41

350

Answer 42

so that's how many calories he burns in 35 min

Answer 43

ok how can the equation slope.... etc ??

Answer 44

well you just used the equation to find how many calories he burned in 35 min

Answer 45

when you graph the equation, you'll be able to see visually how many calories he burns at any given time

Answer 46

thank you sooo much!!! i really appreciate it!!!

Answer 47

your the best!! !!! im done with my test!!! WOOHOOOOO

Answer 48

how did you do

Answer 49

all right :)

Answer 50

that's great