please help! Algebra 1

Question

The table shows the height, in centimeters, of the water in a swimming pool at different times since the pool started to be filled.

Does the height of the water increase by the same amount each minute? 

 

 

YES OR NO

Answer 1

YES.

For equal intervals in time, calculate the amount by which the height of the water increases.

After the 1st minute:

change in height = 150.5 - 150 = +0.5

After 1 more minute, at 2nd minute:

change in height = 151 - 150.5 = +0.5

After 1 more minute, at 3rd minute:

change in height = 151.5 - 151 = +0.5

Notice that the change is the same for every interval.

Therefore, the answer to the question is YES, the height of the water increases by the same amount each minute.

Answer 2

Yes the height of the water increases by the same amount each minute. In the table you can see that the height increases by 0.5 each time.

Answer 3

Look at the difference in height each minute.

150.5-150 = 0.5

151-150.5 = 0.5

151.5-151 = 0.5

YES, the pool is increasing in height at the same rate each minute