Question

Chem deposited $115.00 in a savings account. Each week thereafter, he

deposits $35.00 into the account.
a. Write a function to represent the total amount Chem has deposited for any particular
number of weeks after his initial deposit.
b. How much has Chem deposited 30 weeks after his initial deposit?

Answer 1

Part a)
`y=35x+115`

Part b)
`\$1,165`

Explanation:

Part a)

Let

x -----> the number of weeks

y ----> the total amount Chem has deposited in a saving account

we know that

The equation of a line in slope intercept form is

`y=mx+b`

where

m is the rate or slope of the linear equation

b is the y-intercept of the linear equation or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The rate or slope is equal to

`m=35(\$)/(week)` -----> amount deposited by Chem each week

The y-intercept or initial value is

`b=\$115` ----> amount deposited originally in the saving account

substitute the values

`y=35x+115`

Part b) How much has Chem deposited 30 weeks after his initial deposit?

For x=30 weeks

substitute in the equation

`y=35(30)+115`

`y=\$1,165`