Explanation:
First let's set up the inequality. First make sure we have the variable (let's use x) for ticket numbers, and include the constant 25 since this does not change. Since we are finding all the possible numbers, that would be the minimum (at least) and everything above that. Therefore our sign is going to be greater than or equal to.
Here is the inequality: 15x+25≥650
This means: 15 dollars per ticket multiplied by the amount of tickets Yaasiyn buys plus his friend's 25 dollar donation is at least 650 dollars. x stands for the amount of tickets Yaasiyn must buy to make at least 650 dollars. We have to solve for x, but greater than or equal to means that the solution set can be x or greater.
Let's solve. Remember, to solve these you have to isolate the variable
15x+25≥650 Subtract 25 from both sides (opposite functions)
15x≥625 Now divide by 15
x≥ 41 2/3 Since you can't buy 41 and two thirds of a ticket, round up to 42.
Yaasiyn needs to sell 42 or more tickets to reach his goal of 650 dollars.
For the number line, label the values and put 41 in about the middle. Then you can put lower values on the left, greater on the right, etc. Now make a CLOSED dot (greater than OR equal to), and out of that an arrow extending to the right.
For part C, I'd say that he does NOT need to lower the price. To meet his goal he only needs 42 people to come, not 60. It's not necessary to sell all 60 tickets to meet his goal.
Also, 42 people multiplied by $15 per person equals 630
Selling tickets to 60 people for $10 each only makes a profit of 600.