Question

Just help me understand this :) NO ANSWER
Assume a 150 pound person burns 120 calories after 2 hours of sleep and 240 calories after 4 hours of sleep.
Part 1 : 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 : Write an equation, in slope intercept form, to represent this data.

Part 3 : 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 1

part 1: what does calories/hours give you?

Answer 2

part 2: f(x) = mx + b

Answer 3

part 3: sub 8 into your formula, or recognize this as a linear function and it increases by 60 each hour

Answer 4

Alright. In part 1, you're being asked for ordered pairs. That weight, 150, is a red herring -- it doesn't matter what the person's weight is to solve the problem.

If calories are y and hours are x, then the first y is 120 and the first x is 2. That ordered pair is going to look like (x, y), so it'll be (2, 120), right? Now you do the other one.

Then you can plug them into your slope formula.

For part 2, you don't have a y-intercept. You're going to have to use what you do have, which is a slope and a point (2, in fact, so pick whichever you like). So plug your data into point-slope form and then solve for y to get slope-intercept form.

Answer 5

Thank youu SO much! (: