Assume a 115-pound person burns 36 calories after 12 minutes of walking and 54 calories after 18 minutes of walking.
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
Answer will be posted below.
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Place a point at 12 x and 36 y (12,36). Then place another point at 18 x and 54 y (18, 54). Then, draw a line through both points. The slope is 3 ( 12 - 18 / 36 - 54) this is the rate of how many calories are burns a minute.
y = 3x
If we already know what the x coordinate is, then all you have to do is plug in the numbers to find the solution. For example, If x = 35 then y = 3(35) or 105 calories burned.
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