Question

Use the image to answer the 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)
.

(1 point)
(
,
)

Answer 1

wrong, try again

Answer 2

it's (10,5) the bot had them backwards

Answer 3

The line connecting the points (0, 20) and (15, 0) represents the boundary of the inequality. To determine which point represents a viable solution, we need to find a point that lies below this line since the context suggests the number of attendees (adults and children) must be non-negative.

To find a solution point, consider the coordinates (5, 10):
- 5 Adults
- 10 Children

This point satisfies the constraint that there are non-negative values for both adults and children and lies below the line connecting (0, 20) and (15, 0).

Thus, the viable solution in this context is:
(5, 10)