Question

Wet N' Dry camp provides water-based activities and ground sports activities for a

maximum of 80 campers. There should be a minimum of eight campers doing water-based activities and a minimum of five campers doing ground sports activities.

Part 1) Write a system of three inequalities hat describes this situation. Define your variables.

Part 2) Graph the system to show all possible out comes.

Part 3) Write one possible solution to the problem in sentence form.

Answer 1

1. x+y≤80; x≥8; y≥5
2. see attached for a graph
3. Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.

Explanation:

1. Let x and y represent the numbers of campers doing water- and ground-based activities, respectively.

x + y ≤ 80 . . . . . . a maximum of 80 campers can be accommodated

x ≥ 8 . . . . . . . . . . a minimum of 8 campers should be water-based

y ≥ 5 . . . . . . . . . . a minimum of 5 campers should be ground-based

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2. See the attachment for a graph. Possible outcomes are shaded red. The boundary lines of the shaded area are included in the possible outcomes.

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3. Twenty campers are doing water-based activities and 40 campers are doing ground-based activities.