Jada has some money saved in her savings account. Then, she starts a new job. She puts all the money she earns from her job on a checking account. She creates the following graph to show the total amount of money she will have saved in both accounts over time.

A: What does f(0) represent in the context of this problem?
B: Build a function to represent the total amount of money Jada has saved over time in both accounts combined
C: How much money does Jada make per hour? Write your answer as a whole number.

1 answer

Let's break down each part of your question regarding Jada's savings and earnings:

A: What does f(0) represent in the context of this problem?

In the context of this problem, \( f(0) \) represents the total amount of money Jada has saved in both her savings and checking accounts at the start (time \( t = 0 \)). This initial amount includes any money that was already saved in her savings account before she started her new job.


B: Build a function to represent the total amount of money Jada has saved over time in both accounts combined

Let's assume the following:

  • Let \( S \) be the initial amount in Jada's savings account (this is her total amount at \( t = 0 \) or \( f(0) \)).
  • Let \( r \) be the hourly wage (amount of money she makes per hour).
  • Let \( t \) be the number of hours worked.

If we consider these assumptions, Jada's total savings over time can be expressed as: \[ f(t) = S + rt \] where:

  • \( f(t) \) is the total amount of money Jada has at time \( t \),
  • \( S \) is her initial savings,
  • \( r \) is her hourly wage,
  • \( t \) is the total hours she has worked.

C: How much money does Jada make per hour? Write your answer as a whole number.

To determine how much money Jada makes per hour, we would need more specific information, such as:

  • The value of \( r \) (her hourly wage),
  • Additional details about the growth of her total savings over time (e.g., a graph or a specific numerical example).

Since this information hasn't been provided, we can't determine the exact amount she makes per hour without additional context or data.

If there is any extra information available from the graph or another part of the problem statement, I'd be happy to help interpret it further!