Use the image to answer the question.
A graph shows a horizontal axis representing time in days ranging from 0 to 10 in increments of 1. The vertical axis represents cookies in a jar ranging from 0 to 10 in increments of 1. Two plotted points are: left parenthesis 1 comma 6 right parenthesis, left parenthesis 2 comma 5 right parenthesis. These points are joined by a straight line with arrows on both the ends; the straight line continues beyond the two points until it intercepts the horizontal axis and the vertical axis.
Interpret the y
-intercept and slope in the context of this situation. For the slope, give the most simplified rate using whole numbers.
(2 points)
The y
-intercept is
cookie(s). The slope is
cookie(s) every
day(s).
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The y-intercept in this context represents the initial number of cookies in the jar, which is 6 cookies.
The slope represents the rate at which cookies are being consumed from the jar. By calculating the rise over run of the line connecting the two points (6-5)/(1-0) = 1/1, we can see that the slope is 1 cookie every 1 day. This can be simplified to 1 cookie every day.