Question

The amount of money Jerome saves after w weeks is represented by the function f(w)=15w+230

What does the value 15 represent in this situation?

Answer 1

Answer: the total amount saved after w weeks is $15

Explanation:

Answer 2

Answer: The value of 15 represents that Jerome adds $15 every week to his savings.

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.