Question

A fountain with a depth of 5 feet is drained and then refilled. The water level (in feet) after t minutes can be modelled by f(t)=1/4abs{t-20}. A second fountain with the same depth is drained and filled twice as quickly as the first fountain. Describe how to transform the graph of f to model the water level in the second fountain after t minutes.

Then find the depth of each fountain after 4 minutes.
Justify your answer

Answer 1

Answer: a=4ft+80/bst

Step 1: Flip the equation.

Step 2: Add 20 to both sides.

Step 3: Divide both sides by (bst)/4.