# 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.

QUESTION POSTED AT 02/12/2019 - 07:54 AM

QUESTION POSTED AT 02/12/2019 - 07:54 AM

**Answer:**

**m ≥ 82 + 32w**

**m ≥ 402**

**Step-by-step 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 )