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:

The slope is -63.  It is how many cans that go away each day.

Step-by-step explanation:

The y intercept is the y value when x =0

It is the number of canned goods we start with.

The slope is -63.  It is how many cans that go away each day.

The equation can be written in the form

y= mx+b  where m is the slope and b is the y intercept

y = -63x +825

Answer 2

The graph of Nicholas' data illustrates a linear function.

• -63 means that he canned 63 goods daily
• 825 means that he started with 825 goods

From the question, we have:

$m = -63$ --- the slope

$b = 825$ --- the y-intercept

The slope

This is the rate of change of the number of canned goods on a daily basis.

This means that;

The interpretation of -63 is: the number of goods Nicholas canned every day

The y-intercept

This represents when x = 0 (i.e. when the number of days is 0)

So, the interpretation of 825 is:

The number of goods Nicholas started with

Read more about slopes and intercepts at:

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