Question

Jim has a new part-time job bagging groceries after school. The equation y = 75r - 35 shows the relationship between his hours of work (x) and the amount of money in his bank account (V). How much money did he have in his bank account before he started working?

a) $7.50
b) $35
c) -$35
d) There is not enough information for us to determine his initial balance.

Answer 1

The initial amount of money in Jim's bank account is -$35.

Step-by-step explanation:

The equation y = 75r - 35 represents the relationship between Jim's hours of work (x) and the amount of money in his bank account (V). In this equation, the constant term (the term without any variable) is -35. Since the constant term represents the initial amount of money in the bank account, the answer to the question is $-35.

The equation y = 75r - 35 indicates the relationship between Jim's hours of work (x) and the amount of money in his bank account (V). To determine how much money Jim had in his bank account before he started working, we need to find the y-intercept of this linear equation, which corresponds to the value of V when x is 0. The y-intercept in this case is -35, meaning that Jim had -$35 in his bank account before he started his part-time job.