Question

Sereita does sit-ups every morning when she wakes up. The graph shows the number of sit-ups that she does over time.

Answer 1

It looks like it is 14 sit ups per day.  Image is kind of too small to make it out perfectly.

Answer 2

Answer

14 sit-ups per day

Explanation

To solve this, we are going to use the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where

$(x_{1},y_{1})$ are the coordinates of the first point on the line

$(x_{2},y_{2})$ are the coordinates of the second point

From our graph we can infer that Sereita did 14 sit-ups the first day, so our first pint is (1, 14); we can also infer that Sereita did 28 sit-ups the second day, so our second point is (2, 28). From our points we can infer that $x_{1}=1$,  $y_{1}=14$,  $x_{2}=2$,  and $y_{2}=28$, so let's replace the values in our slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{28-14}{2-1}$

$m=\frac{14}{1}$

$m=14$

Since the unit rate is the slope of our line, we can conclude that the unit rate is 14 sit-ups per day.