Question

The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods.

Answer 1

Answer:

We know, eqn. of line => y = mx+c, where m = slope and c = y-intercept.

So, with the given data, the line drawn is y = -63x + 825

=>  63x + y = 825

If x = no. of days and y = no. of canned goods,

So 63*(no. of days) + (no. of canned goods) = 825

SO, the meaning is that 63 times the no. of days passed + number of goods canned is constant, that is 825.

Answer 2

Answer:

The slope indicates that the soup kitchen uses 63 cans per day. The y-intercept shows that there were initially 825 cans at the soup kitchen.