To analyze Jada's situation, let's break down the questions:
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 of her new job (i.e., when time \( t = 0 \)). This amount includes any money she already had in her savings account before she started receiving earnings from her job.
B: Build a function to represent the total amount of money Jada has saved over time in both accounts combined.
Let’s define a function that captures the total amount of money Jada has over time. We'll denote:
- \( S \) as the initial amount in her savings account (which is \( f(0) \)).
- \( r \) as the hourly wage that Jada earns from her new job.
- \( t \) as the number of hours she has worked.
The total amount of money Jada saves in both accounts over time can be represented as:
\[ f(t) = S + rt \]
Where:
- \( f(t) \) is the total amount of money in both accounts after \( t \) hours worked.
- \( S \) is the initial amount in the savings account.
- \( rt \) is the total money earned from working \( t \) hours.
C: How much money does Jada make per hour?
Without specific numerical values given in the problem (like the slope of the graph or the total amount after a certain number of hours), I cannot provide an exact numerical answer for how much Jada makes per hour. The hourly wage \( r \) would need to be specified in the context of the problem (for example, if the graph showed a line with a specific slope representing her earnings per hour).
If you have additional information (like the slope of the line on the graph or any numerical values provided regarding her total earnings after a certain time), please provide that, and I can help calculate her hourly wage.
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