Answer: The value of 15 represents that Jerome adds $15 every week to his savings.
Step-by-step explanation:
Given function: \(f(w)=15w+230\) which represents the amount of money Jerome saves after w weeks.
Here 15 is the rate of increment in the saving per week as it is the slope of the function.
Put w=0, when Jerome started saving
\(f(0)=15(0)+230=0+230=230\)
Thus, 230 is the initial amount of saving.
Put w=1, for first week
The amount of money he saved=\(f(1)=15(1)+230=15+230=245\)
Increase in saving=245-230=15
Put w=2, for second week
The amount of money he saved=\(f(2)=15(2)+230=30+230=260\)
Increase in saving=260-245=15
⇒ Jerome is added 15 rupees per week.
