You have a problem. You are running out of M&Ms (the candy). Originally, you had 200 small pieces. Last week, you got a little excited and ate 151 pieces of your original amount in one week (7 days). You are determined to last the remaining M&Ms for exactly one more week. If you eat the same amount every day, how many pieces will you be able to eat each day? Create an equation to show how you would find the number of M&M pieces you could now have each day.
What is the answer to your equation in part 1? What steps did you take to solve your equation?
Please explain how you know your equation is correct.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer