Question

Suppose you start with at least $82 in your savings account and deposit $32 each week. Write, solve, and graph an inequality to describe how much money, m, you have after 10 weeks, w.

Answer 1

32 x 10= 320 + 82=402

Answer 2

m ≥ 82 + 32w

m ≥ 402

Explanation:

Here, w represents the number of weeks and m represents the total amount in the account after w weeks,

The amount of money saved in each week = $ 32,

So, the total amount saved after weeks = 32w dollars,

Since, the original amount in the account = $ 82

The total amount in the account = 82 + 32w

Thus, the required inequality would be,

m ≥ 82 + 32w

If w = 10,

The amount in the account after 10 weeks = 82 + 32(10) = 82 + 320 = $ 402

⇒ m ≥ 402

That is, the closed circle on 402 and shaded right in the number line ( shown below )