Question

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 information provided?

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

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

@Hyper @jim_thompson5910

Answer 1

Oops, this was the first part: Assume a 115 pound person burns 36 calories after 12 minutes of walking and 54 calories after 18 minutes of walking.

Answer 2

For the first part, do exactly as they tell you and sketch a graph with calories representing the y-axis and minutes representing the x - axis. From there, the second information you provided gives you the 2 ordered pairs or coordinates which they want you to use to find the slope. Plot these two points on the graph and the slope represents the; rise/run

Answer 3

Which one is the ordered pairs?

Answer 4

They take the form of : ( minutes , calories burnt) which means that for each ordered pairs , the x coordinate will be the minutes and the y coordinate will be calories burnt. Ordered pair is just another term for a coordinate.

Answer 5

Are you good at drawing lines?

Answer 6

not really...

Answer 7

Okay, I'll make a second attempt at making a decent looking graph, hah.

Answer 8

Another hint: When t = 0 or x coordinate equals zero which is initially the time when the person walked, calories burnt or the y coordinate will also be zero.

Answer 9

http://sketchtoy.com/32920037 Like this ?

Answer 10

The axis's are in the correct order. The question said that the x - coordinate which is horizontal represents the time and the y - coordinate which is the vertical represents the calories. Swap them around and apart from that, the information plotted and numbers is correct.

Answer 11

Okay, one sec.

Answer 12

http://sketchtoy.com/32921279 Like that?

Answer 13

@jim_thompson5910 Can you help? This is my last question and I really want to get finished because I've been at this for almost 6 hours.

Answer 14

the graph looks good to me, nice work

Answer 15

How would I find the slope. And Thanks.

Answer 16

@satellite73 ?

Answer 17

the two points are: (12,36) and (18,54)


so the slope of the line through these points is


m = (y2-y1)/(x2-x1)


m = (54-36)/(18-12)


m = 18/6


m = 3

Answer 18

Oh gosh, Thank you so much. So for part 2 I would write it in y = mx+b form?

Answer 19

correct

Answer 20

So, y=3x, and I don't know what the +b part would be.

Answer 21

y = mx+b

y = 3x + b ... plug in the slope

36 = 3(12) + b ... plug in one of the given points, I'm doing (12,36)

solve for b

Answer 22

And Part 3 is basically solve for b, right?

Answer 23

no that's still for part 2

Answer 24

I think I tried solving it wrong. I multiply 3 and 12, right?

Answer 25

that gives you what

Answer 26

36

Answer 27

so

36 = 3(12) + b

turns into

36 = 36 + b

Answer 28

Okay, so I did it correctly.

Answer 29

what did you get for b

Answer 30

That's pretty much as far as I got. I don't know what to do next.

Answer 31

how would you move the 36 on the right side over to the left

Answer 32

Divide?

Answer 33

36+b is the same as b+36

Answer 34

36 = b+36

how do you undo the +36

Answer 35

Subtract.

Answer 36

good, giving you b = ???

Answer 37

0?

Answer 38

yep, b = 0

Answer 39

so y = mx+b turns into y = 3x + 0 or just y = 3x

Answer 40

Okay, how do I do part 3?

Answer 41

now that you know the equation, you can plug in x = 35 to get y

Answer 42

y =105?

Answer 43

good you got it

Answer 44

so you burn 105 calories when walking 35 min

Answer 45

Finally. Thanks so much. I can finally go to bed now, hahah.

Answer 46

lol good night