APPLICATION Melissa and Roy both sell cars at the same dealership and have to meet the same profit goal each week. Last week, Roy sold only three cars, and he was below his goal by $2050. Melissa sold seven cars, and she beat her goal by $1550.
Assume that the profit is approximately the same for each car they sell.
a. Use a graph to find a few terms, un , of the sequence of sales amounts above or below the goal.
b. What is the real-world meaning of the common difference?
c. Write an explicit formula for this sequence of sales values in relation to the goal.
Define variables and write a linear equation.
d. What is the real-world meaning of the horizontal and vertical intercepts?
e. What is the profit goal? How many more cars must Roy sell to be within $500 of his goal?