18.

Use the image to answer the question.

Which of the following ordered pairs is a part of the solution set for the equation y = 2.5x -2?

(1 point)
Responses

(-2, 0)
(-2, 0)

(2, 5)
(2, 5)

(2, 3)
(2, 3)

None of the above
None of the above
Question 2
19.

Tristan is in charge of cheerleading tryouts for their school. They need to pick 12 new cheerleaders to allocate across both the varsity and junior varsity squads. Which of the following is a reasonable solution?

(1 point)
Responses

8 varsity cheerleaders and 4 junior varsity cheerleaders
8 varsity cheerleaders and 4 junior varsity cheerleaders

0 varsity cheerleaders and 12 junior varsity cheerleaders
0 varsity cheerleaders and 12 junior varsity cheerleaders

15 varsity cheerleaders and -3 junior varsity cheerleaders
15 varsity cheerleaders and -3 junior varsity cheerleaders

8 varsity cheerleaders and 8 junior varsity cheerleaders
8 varsity cheerleaders and 8 junior varsity cheerleaders
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1 answer

For the first question regarding the equation \( y = 2.5x - 2 \), we need to check each ordered pair to see if it satisfies the equation:

  1. For (-2, 0): \[ y = 2.5(-2) - 2 = -5 - 2 = -7 \quad \text{(not a solution)} \]

  2. For (2, 5): \[ y = 2.5(2) - 2 = 5 - 2 = 3 \quad \text{(not a solution)} \]

  3. For (2, 3): \[ y = 2.5(2) - 2 = 5 - 2 = 3 \quad \text{(this is a solution)} \]

Thus, the ordered pair that is a part of the solution set is (2, 3).


For the second question about cheerleading tryouts, we need to choose a distribution of cheerleaders that adds up to 12 and is reasonable.

  1. 8 varsity and 4 junior varsity: This adds up to \(8 + 4 = 12\) (reasonable).

  2. 0 varsity and 12 junior varsity: This adds up to \(0 + 12 = 12\) (reasonable).

  3. 15 varsity and -3 junior varsity: This is not reasonable since you cannot have a negative number of cheerleaders.

  4. 8 varsity and 8 junior varsity: This adds up to \(8 + 8 = 16\) (not reasonable).

Therefore, both 8 varsity cheerleaders and 4 junior varsity cheerleaders and 0 varsity cheerleaders and 12 junior varsity cheerleaders are reasonable solutions. If only one choice is allowed based on the given answers, the best answer is 8 varsity cheerleaders and 4 junior varsity cheerleaders.

Let me know if you need further assistance!

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