Answer:
[tex]12\ weeks[/tex]
Step-by-step explanation:
The complete question is
Angelo recently opened a bank account and deposits the same amount each week. After 8 weeks, he deposited $280. He wants to deposit a total of 420 in his account. How many weeks will it Angelo to deposit a total of $420
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
Let
x ----> the number of weeks
y ----> the total deposit in the bank account
In this problem we have a proportional relationship between the variables x, and y.
we have the ordered pair (8,280)
Find the constant of proportionality k or slope of the linear equation
[tex]k=\frac{280}{8}=\$35\ per\ week[/tex]
so
The linear equation is
[tex]y=35x[/tex]
For y=420
Substitute in the linear equation
[tex]420=35x[/tex]
Solve for x
[tex]x=12\ weeks[/tex]
