You are right the answer is b
<span>Time (weeks) 0 1 2 3 4 5 6 7 8
</span><span>Weight (lb) 150 144 143 141 140 137 137 132 129
</span>
<u>Change in time (weeks)</u> = <u> 5 - 0 </u> = <u> 5 </u> = -0.3846
Change in weight (lbs) 137 -150 -13
The average rate of change of weight with respect to time over the first five weeks of the program is -0.3846. It is a negative sign because the weight is decreasing.
Hi there!
Let the amount of hours Kim worked be represented by X.
Her total earnings on a Friday night can be expressed as $30 + ($1.25 × the amount of hours). We can now set up a function for her total revenue (represented by Y).

When Kim works 3 hours we need to plug in x = 3 into the formula.

Therefore, after 3 hours of working, Kim would have made $33.75
We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)
Let's verify it's a line by calculating the slopes between successive points.
Slope is change in y over change in x.
(2 - 4)/(-1 - -3) = -2/2 = -1
(-3 - 2)/(4 - -1) = -5/5 = -1
(-5 - -3)/(6 - 4) = -2/2 =-1
Yup. We have a line of slope -1 through point (-1, 2)
y - 2 = -1(x - -1)
y = -x - 1 + 2
y = -x + 1
That's the linear equation for the table.
Answer: Linear equation: y = -x + 1 slope = -1