M1M5 Big Idea D-

Big Idea D-

What is a viable solution?

Open Ended

What is a solution to an equation or inequality?

It's a solution!

​When we graph, we make a picture of the solutions.

Open Ended

What does viable mean?

A solution is viable if it works in context.

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It's viable!

Open Ended

What is a constraint?

A constrain is a limitation or boundary on an event.

Examples:
Spending limits
Out of bounds lines
Speed Limits
Dress codes

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Constraint

​​(-1, -475)

(9,-225)

​​(3,200)

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​

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Categorize

Options (4)

(2,-15)

(-1,-30)

(0,25)

(11,30)

Your friend loaned you $25 to enter a Pokemon tournament. there are 10 rounds, and every round you win you get $5 in prize money. You winnings can be modeled by $$y=5x-25$$ , where x is the number of rounds won and y is the profit from the tournament. Decide which category each of the points fall into.

Viable Solution

Non-Viable Solution

Non-solution

Pet Business

How many dogs and cats can we take care of?

Feeding time: Carlos and Clarita estimate that cats will require 6 minutes twice a day—morning and evening—to feed and clean their litter boxes, for a total of 12 minutes per day for each cat. Dogs will require 10 minutes twice a day to feed and walk, for a total of 20 minutes per day for each dog. Carlos can spend up to 8 hours each day for the morning and evening feedings, but needs the middle of the day off for baseball practice and games.

Putting it together

​d=The number of dogs Carlos and Clarita take care of.
c=The number of cats Carlos and Clarita take care of.

Open Ended

Remember:

c is the number of cats.

d is the number of dogs.

What values of c and d make sense?

Hotspot

Select all the regions containing viable solutions.

Hotspot

Select all the regions containing non-solutions.

Hotspot

Select all the regions containing non-viable solutions.