Question

Assume a 125 pound person burns 150 calories after 15 minutes of jogging and 200 calories after 20 minutes of jogging.
Part 1 (2 points): 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 (2 points): Write an equation, in slope intercept form, to represent this data.

@jim_thompson5910

Answer 1

you need to find the equation of the line that goes through (15, 150) and (20,200)

Answer 2

50/5?

Answer 3

which reduces to what

Answer 4

10?

Answer 5

that's the slope

Answer 6

so

y = mx + b

y = 10x + b

now plug in either point, then solve for b

Answer 7

150=10(15)+b?

Answer 8

keep going

Answer 9

150=150+b? @jim_thompson5910

Answer 10

good

Answer 11

then what

Answer 12

um im not sure

Answer 13

150+b is the same as b+150

Answer 14

150 = b+150

....

b = ??

Answer 15

150?

Answer 16

150+SOMETHING = 150

what must this SOMETHING be?

Answer 17

to find out, you can subtract 150 from both sides.

Answer 18

so wouldnt it be 0?

Answer 19

b = 0, yep

Answer 20

m = 10
b = 0

y = mx+b

y = 10x + 0

y = 10x

Answer 21

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

Answer 22

plug x = 35 into y = 10x and you tell me

Answer 23

350?

Answer 24

yep

Answer 25

so you can see how the equation is used to predict how many calories are burned

Answer 26

the graph is just a visual way of doing the same thing pretty much

Answer 27

so the slope represents the number of calories burned?

Answer 28

per minute

Answer 29

so if you workout for one more additional minute, you burn 10 more calories

Answer 30

ohh okay i get it now thank you so much!(:

Answer 31

yw