se the image to answer the question.

Question

The x- and y- axes of a coordinate plane are labeled ‘Adults’ and ‘Children,’ respectively, and range from 0 to 20 in increments of 5. A line connects left parenthesis 0 comma 20 right parenthesis to left parenthesis 15 comma 0 right parenthesis.

The image shows an inequality representing the possible number of adults and children in attendance at a party. Which of the labeled points represents a viable solution in this context? Enter the coordinates exactly as they appear above, in the form (x,y)

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(1 point)

Answer 1

To determine a viable solution, we need to check if the point lies within the area represented by the inequality shown in the image.

The line connecting (0, 20) and (15, 0) can be used to understand the boundary of the inequality. This line represents the maximum number of adults and children that can be present at the party.

Assuming the inequality is of the form \( y \leq -\frac{4}{3}x + 20 \), any point below or on this line should be a viable solution, provided that the coordinates are positive or zero.

For example, if we check the point (5, 10):

• Substitute \( x = 5 \) into the equation of the line: \[ y = -\frac{4}{3}(5) + 20 = -\frac{20}{3} + 20 = \frac{40}{3} \approx 13.33 \] Since \( 10 \leq 13.33 \), the point (5, 10) is a viable solution.

However, without specific coordinates to analyze, I cannot provide a definite viable solution. If you have specific labeled points you would like me to evaluate, please share them.