Question

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

Answer 1

Answer:

$12\ weeks$

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 $k=\frac{y}{x}$ or $y=kx$

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

$k=\frac{280}{8}=\ 35\ per\ week$

so

The linear equation is

$y=35x$

For y=420

Substitute in the linear equation

$420=35x$

Solve for x

$x=12\ weeks$