77.5k views
1 vote
Please help!!! How do I turn these problems into inequalities?!?!

Please help!!! How do I turn these problems into inequalities?!?!-example-1
User Bot
by
5.4k points

2 Answers

5 votes

Answer:

5. at least $62,000 worth of cars

6. $28,000 on sales

7. at least an 89

Explanation:

5. We have a base salary of $1400 and the earning is 5% on sales (in other words, of the total profits from sales, the salesperson gets 5% of that). If s represents sales, we can say that the salesperson earns:

1400 + 0.05 * s

We want the end product to be at least $4500, so:

1400 + 0.05s ≥ 4500

0.05s ≥ 3100

s ≥ $62,000

The salesperson needs to sell at least $62,000 worth of cars.

6. This is similar to the previous question. Say the number of sales is s. Then, we have:

800 + 15% * s = 5000

800 + 0.15s = 5000

0.15s = 4200

s = 28,000

Ling needs to sell $28,000 on sales.

7. Let's say the last score is x. The average is found by adding all the test scores and dividing by the number of tests:

(85 + 76 + 94 + 81 + x) / 5 ≥ 85

336 + x ≥ 425

x ≥ 89

Latrell needs to earn at least an 89 on his next test to keep his average at 85 or higher.

User Extmkv
by
5.7k points
2 votes

4500 ≤ 1400 + .05x, where x = sales

800 + .15s = 5000, where s = sales <-- this isn't an inequality, because it's asking for the exact amount of sales Ling needs to get.

(85+76+94+81+y)/5 ≥ 85, where y = next test score

User Mayank Agrawal
by
5.5k points