Regina is a college student who has two part-time jobs. She spends some time each week working in the math tutoring center for $15 per hour, and she also spends some time each week working at the university cafeteria for $10 per hour. Regina's goal each week is to earn $300. What combinations of hours worked at each job would allow her to reach her goal? Let's explore. Let t represent the number of hours Regina works in the tutoring center in a week. Let c represent the number of hours Regina works in the university cafeteria in the same week.
a. If Regina works 7 hours at the tutoring center in a week, how much money does she earn?
b. What expression represents the amount of money Regina makes (in dollars) for working t hours in the tutoring center?
c. If Regina works 16 hours at the university cafeteria in a week, how much money does she earn?
d. What expression represents the amount of money Regina makes (in dollars) for working c hours in the cafeteria?
e. If Regina works 7 hours at the tutoring center and 19 hours at the cafeteria in a week, how much total money does she earn?
f. Based on this information, does that combination of hours allow her to exactly meet her goal of making $300 for the week?
g. What expression represents the amount of money Regina makes (in dollars) for working t hours in the tutoring center and c hours in the cafeteria? Fill in the blank with this expression to complete the following statement.
= 300