Question

Can someone check my answer :)

Answer 1

Assume a 150 pound person burns 120 calories after 2 hours of sleep and 240 calories after 4 hours of sleep.
Part 1 (2 points): Use calories as the y-coordinate and hours 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.

Part 3 (2 points): How many calories will this person burn after 8 hours of sleep? Using complete sentences, explain how the equation, slope, or graph can help to predict calories burned.#

Answer 2

use calories as y-coordinate...
the ordered pairs must be (2,120) and (4, 240)

Answer 3

Ok thank you!! Hows this?
Part 1: (2, 120) and (4, 240)
To find the slope use the formula:
y2 - y1
------- = m
x2 - x1

If 4=x2, 2=x1, 240=y2 and 120=y1 the slope is, 120/2.

Part 2: y = 120/2x + b

Part 3: This person will burn 480 calories in 8 hours. The slope can help you predict how many calories the person will burn in 8 hours because every 2 hours it burns 120 calories.

Answer 4

that's right. you may also change the sloe 120/2 to its simple equivalent form 60

Answer 5

Ok so everything looks good? Btw thanks a lot!

Answer 6

as for part 2, you need to find the value of b

Answer 7

\[y=60x+b\]
use the ordered pair (x=2, y=120) in the above equation solve b.

Answer 8

Hmm can you help me with that?

Answer 9

replace y by 120 and x by 2
(120) = 60(2) + b

Answer 10

But how will that give me b? :S

Answer 11

(120) = 60(2) + b
120 = 120 + b

what do you think is the value of b?

Answer 12

Honestly I have no clue :S