Question

In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.

Answer 1

A. y = 45(x – 4); $180

B. y – 270 = 45(x – 2) ; $450

Explanation:

Answer 2

In February, you have a balance of $270 in your bank account.
In January, you have a balance of $270 - $45 = $225 in your bank account.
In December, you have a balance of $225 - $45 = $180 in your bank account.

y = $180 + $45x, where x = 1, 2, 3, 4...

Balance in June: x = 6
y = $180 + $45x = $180 + $45×6 = $180 + $270 = $450