Which equation represents the relationship between the number of pets Scott watches and his fees?

The slope is the change in y over change in x

Given the points (1,8), (2,11), (3,14), (2,17) we can use the table to figure out what our equation will be

Notice on the table as you go on the y term from 8 to 11 to 14 to 17 you are having a constant rate of change of 3. So that’s your change in y

On the left side which is your x, you are going up by 1 every time because it’s {1,2,3,4} So your change in x is 1

Your slope or m in y=mx+b can be found by using the following formula

Change in y/change in x

So here our change in y is 3 and our change in x is 1. So that means our slope is

m=3/1 = 3

y=3x+b

To find b, you can plug in one of the points. Let’s use (1,8). So x=1 and y=8. Now we can plug these in and solve for b.

8=3(1)+b

8=3+b

Subtracting 3 on both sides we have

b=5

Therefore given y=3x+(b) we can plug b in to obtain the following equation

y=3x+5. So that’s your answer

I hope this helps

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