A store selling art supplies finds that they can sell x sketch pads each week at a price of p dollars each, according to the formula x = 2100 - 300p. What price should they charge if they want to sell at least 600 pads each week? (First use the formula to write an inequality in terms of p.)

I am very confused someone please help me with this problem.

x<= 2100-300p

600 <= 2100 -300p

p<= 5

What would be the inequality in terms of p.

To solve this problem, we can use the given formula x = 2100 - 300p, where x represents the number of sketch pads sold each week and p represents the price per sketch pad in dollars.

We want to find the price they should charge if they want to sell at least 600 sketch pads each week.

Let's start by setting up the inequality using the formula.

According to the problem, we want to sell at least 600 sketch pads each week, so we can write this as:

x ≥ 600

Substituting the formula x = 2100 - 300p into the inequality, we get:

2100 - 300p ≥ 600

Now, we can solve for p by simplifying the inequality:

2100 - 600 ≥ 300p

1500 ≥ 300p

Dividing both sides of the inequality by 300, we get:

5 ≥ p

Therefore, the price they should charge if they want to sell at least 600 pads each week is $5 or less.

To solve this problem, we need to use the given formula x = 2100 - 300p, where x represents the number of sketch pads sold each week and p represents the price in dollars.

We want to find the price that will allow the store to sell at least 600 sketch pads each week. So let's set up an inequality using the formula:

x ≥ 600

Substituting the formula x = 2100 - 300p into the inequality, we get:

2100 - 300p ≥ 600

Now, we can solve this inequality to find the price (p) that satisfies the condition.

To do this, let's isolate the variable p by moving the constants to the other side of the inequality:

-300p ≥ 600 - 2100

Simplifying the right side:

-300p ≥ -1500

To get rid of the negative coefficient (-300) in front of p, we need to divide both sides of the inequality by -300. Remember that when you divide or multiply an inequality by a negative number, you must flip the inequality sign.

Dividing both sides by -300:

p ≤ (-1500) / (-300)

Simplifying the right side:

p ≤ 5

So the solution is p ≤ 5. Therefore, the store should charge a price of $5 or less to sell at least 600 sketch pads each week.