Chem deposited $115.00 in a savings account. Each week thereafter, hedeposits $35.00 into the account.a. Write a function to represent the total amount Chem has deposited for any particularnumber of weeks after his initial deposit.b. How much has Chem deposited 30 weeks after his initial deposit?

Answer:Part a) [tex]y=35x+115[/tex]Part b) [tex]\$1,165[/tex]Step-by-step explanation:Part a) Letx -----> the number of weeksy ----> the total amount Chem has deposited in a saving accountwe know thatThe equation of a line in slope intercept form is[tex]y=mx+b[/tex]wherem is the rate or slope of the linear equationb 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 thatThe rate or slope is equal to[tex]m=35\frac{\$}{week}[/tex] -----> amount deposited by Chem each weekThe y-intercept or initial value is[tex]b=\$115[/tex] ----> amount deposited originally in the saving accountsubstitute the values[tex]y=35x+115[/tex]Part b) How much has Chem deposited 30 weeks after his initial deposit?For x=30 weekssubstitute in the equation[tex]y=35(30)+115[/tex][tex]y=\$1,165[/tex]