(I need help really badly >-<) 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 pred
the rest: predict calories burned. I need help for part 2 and 3...
So you've found the slope. What did you get?
60
Cool, now write the equation in the form \(y = mx +c\) where m is the slope (which you just told me and c is the y intersect)
I kind of need help on finding the y-intercept, what I have now is y = 60x
We are looking for the y intercept i.e. when x = 0. We know that x is the hours and y represents calories lost. How many calories would one lose after sleeping for 0 hours?
so 0 calories would be the y-intercept? y=60x?
Yep!
Okay, that was easy xD How about part 3? I'm not really good at those...
We can just plug in the various numbers in to the equation \(y = 60x\). We are looking for number of calories after 8 hours. So what are the values for x and y?
Ah, I need to explain... I just noticed. I know x is 8 for sure, but y I need help on
We only know x. \(y = 60x\) Now substitute x for 8 giving. \(y = 60 \times 8\) Does that make sense?
Oh, now it does! So the person burned 480 calories?
BOOM!!! Got it right! That answer makes sense too, because if I burn 240 calories every 4 hours (which was given in the question) it makes sense to double it right? Anyway glad I could help! Let me know if you have any other questions about this.
Okay! Thanks so, so, so, so much!
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