Letter to a Friend 2. The function r = f(t),1 t 10,

gives the net rate (in gal/min) at which water flows into a tank at time t minutes past noon.

(a) make an equation you would solve to find when the tank holds 40 more gallons than it does at 12:03pm. make it as simply as possible without

1

including any unnecessary steps. Start by defining your unknown; do not use t, it is already taken.

(b) Use the graph of the function

r = f(t), 1 t 10,

shown below to approximate all clock time(s) when the tank holds 40 more gallons than it does at 12:03pm. Be sure to fully explain your reasoning. Include at least one copy of the graph in your explanation. Label the axes with the appropriate variable names and units. Do not use this graph for part (a).

40 20

20 40 60 80

100

Letter to a Friend 2. The function r = f(t) , 1