A waste collection company determines that their current equipment breaks down paper into smaller pieces at a pace modeled by A(t) = 15 + 5t. The company is researching a new piece of equipment that breaks down the paper into smaller pieces at a rate given by B(t) = (1.32)^t, where A and B represent the number of pieces of paper after t minutes. a) Use your calculator to sketch graphs for both equations on the following coordinate system. Use the given scale on the axes to set your window. (Hint: Use the x- values as [-40, 60, 5] and y-values as [-100, 180, 20].) b) Use your calculator to determine how long it will take for the two pieces of equipment to create the same number of pieces of paper. (Round to one decimal place.) c) For what realistic values of t will A(t) > B(t)? Write your answer in interval notation.

A waste collection company determines that their current equipment breaks down paper into
smaller pieces at a pace modeled by A(t) = 15 + 5t. The company is researching a new piece of
equipment that breaks down the paper into smaller pieces at a rate given by
B(t) = (1.32)^t, where A and B represent the number of pieces of paper after t minutes.
a) Use your calculator to sketch graphs for both equations on the following
coordinate system. Use the given scale on the axes to set your window. (Hint: Use the x-
values as
[-40, 60, 5] and y-values as [-100, 180, 20].)
b) Use your calculator to determine how long it will take for the two pieces of
equipment to create the same number of pieces of paper. (Round to one decimal place.)
c) For what realistic values of t will A(t) > B(t)? Write your answer in interval
notation.