you have an additional $300, revise your inequality from part A to reflect your new spending limit. Solve this inequality and graph the solution on a number line. Explain what your solution means in terms of the situation.

Question

Part A. 0.60x ≤ 500,000

Answer 1

To revise the inequality to reflect the new spending limit of $300, we subtract $300 from both sides:

0.60x - $300 ≤ 500,000 - $300
0.60x ≤ 499,700

To solve this inequality, we divide both sides by 0.60:

x ≤ 499,700 / 0.60
x ≤ 832,833.33

Now, we can graph the solution on a number line. Since the inequality is not strict, we include the endpoint and shade the region to the left:

```
<-----|=======================]
0 832,833.33
```

This means that the maximum amount the person can spend is $832,833.33 or less, in order to meet the given inequality.

Therefore, the solution means that if the person spends $832,833.33 or less, the inequality statement will hold true.