The profit at a local coffee shop can be represented by the
function ????=????(????)P=f(s)where ????sis the number of sales each
month.
Part a) Use transformations to write a
function that represents the statement “When the number of sales
doubles, the shop profit triples. However, monthly rent has
increased by $1,000 so the profit decreases by that much.”
Part b) The
point (1400,600)(1400,600)is on the graph of the
function ????=????(????)P=f(s). What point would be on the graph of the
transformed function from Part a)? What does this represent in the
context of the problem?
Part c) Having done extensive studies, the
coffee shop owner knew that the domain and range of the profit
function ????=????(????)P=f(s). The domain is [0,3000][0,3000]and
the range is [?2880,1000][?2880,1000]. What are the domain and
range of the function you created in Part a)?