Question

Shelia opened a savings account she made an intial deposit. After her intial deposit she added money into the account each week after 4 weed she had $450 after 9 weeks she had $825 in her account. how much money is Sheila adding to her account each week.

Answer 1

Linear Modeling

The amount of money Sheila has in her savings account can be modeled as a linear function:

y = mx + b

Where y is the money in the account, m is the amount that Sheila adds to the account every week, x is the number of weeks, and b is the initial deposit.

We are given the following data: The initial deposit is unknown but we have the points (4,450) and (9,825).

Since we are looking for the value of m (the slope of the line), we can use the formula:

`m=(y_2-y_1)/(x_2-x_1)=(825-450)/(9-4)=(375)/(5)=75`

Sheila adds $75 each week to her account