You’ve decided to start your own business and sell handmade toys. you found an online supplier, company a, where you pay $11 for each of the toys plus $10 shipping. you will sell the toys for $13 each. since you are just starting out, you can’t spend more than $150 to get the toys.

1. write an inequality that represents the fact that you can’t exceed this spending limit.

2. what situation is modeled by the inequality?

3. you decide to purchase 30 toys. your first few customers each buy 3 toys, and you now have at least 14 toys. which inequality represents this situation?

1) The inequality that represents the fact that you can’t exceed this spending limit is; 11x + 10 ≤ 150

2) The situation modeled by the inequality is Option C.

3) The inequality that represents the given situation is; 30 - 3c ≥ 14

We are told;

Cost of purchasing each toy = $11 per toy

Shipping fee = $10 for all

Selling price of each toy = $13 per toy

Maximum amount for cost price = $150

1) The inequality that represents the fact that you can't exceed the $150 maximum cost price is;

11x + 10 ≤ 150

Where x is maximum number of toys you can purchase.

2) The inequality given is; 12x < 11x + 10

From earlier, we saw that the right hand side is $11 per toy and $10 shipping fee for company A.

Now, left hand side shows only 12x which is company B charging $12 per toy.

Thus, the situation modeled by the inequality is option C.

3) Let the number of customers that purchased 3 toys be c.

Since you bought 30 toys and c customers bought 3 toys. Then, toys left is;

30 - 3c

Now,we want this to be at least 14 toys. Thus;

30 - 3c ≥ 14

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1. 11x + 10 ≤ 150

2. Company B charges $12 per toy. Company A charges $11 per toy plus $10 shipping. So, this inequality represents the cost for Company A will be greater.

3. 30 - 3c ≥ 14

Step-by-step explanation:

1. Company A demands to pay $11 for each of the toys plus $10 shipping charges.

But I can not spend more than $150 to get the toys.

So, the inequality that represents the fact that I can not exceed this spending limit is 11x + 10 ≤ 150. (Answer)

2. Given the inequality 12x < 11x + 10.

The situation is modeled by this inequality is Company B charges $12 per toy. Company A charges $11 per toy plus $10 shipping. So, this inequality represents the cost for Company A will be greater. (Answer)

3. 30 toys that I have to purchase. My first few customers each buy 3 toys and I now have at least 14 toys. The inequality that represents this situation is 30 - 3c ≥ 14  (Answer)

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find the upper bound of the range.

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step-by-step explanation: