Patrice gained a pretty good reputation as a high school basketball player. The local WNBA farm team
Question:
Patrice gained a pretty good reputation as a high school basketball player. The local WNBA farm team offers her an initial contract for $15,000 (we will consider this year 0 salary), but promises her salary will increase by 50% (or be multiplied by 1.50) every year she plays after that for up to 12 years.
a) Indicate what kind of function represents Patrice’s salary and explain why you think so.
b) Make a table with at least 5 input-output values, including the y-intercept.
c) What is the domain and range of this function in this context? Explain your answer with a sentence or two.
d) Use the table to draw the graph of this function. Label the y-intercept. [Hint: Be wary of where your graph begins and ends.]
e) Write an equation for Patrice’s salary, S(t), as a function of time.
f) )When, if ever, would Patrice’s salary exceed 1, 000, 000? Show or explain how you figured this out.
