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? Explain how you know.Does the height of the water increase by the same factor each minute? Explain how you know.

Answer 1

The table shows us the next information:

0 mins - 150 height

1 min - 150.5, the height increase 0.5 because 150+0.5 = 150.5

2 mins - 151, the height increase 0.5 because 150.5 +0.5 = 151

3 min - 151, the height increase 0.5 becuase 151.5

Question 1

Therefore, we can deduce that we have a linear equation because we have a common difference. Hence, the height of water increase by the same amount each time.

Question 2

Now, the table doesnt increase by the same factor because the tables doesnt represents an exponential equation.The factors are close but not the same.