Dog Biscuits and Inequalities

The video tutorial explains how Diana the dog earns dog biscuits by fetching Frisbees and balls. Each Frisbee fetch earns her five biscuits, and each ball fetch earns her three. Diana aims to earn a maximum of 30 biscuits before chasing her tail. The tutorial uses a graph to illustrate the combinations of Frisbees and balls that Diana can fetch to reach this limit. It explains how to interpret the graph, calculate the maximum number of biscuits, and verify if Diana's fetching plan is feasible. The tutorial concludes by confirming that Diana can achieve her goal by fetching four Frisbees and two balls.

What is the maximum number of dog biscuits Diana plans to receive before she starts chasing her tail?

• 20

• 25

• 30

• 35

Tags

CCSS.6.RP.A.3B

How many dog biscuits does Diana receive for fetching one Frisbee?

• 4

• 2

• 5

• 3

Tags

CCSS.6.EE.C.9

How many dog biscuits does Diana receive for fetching one ball?

• 1

• 4

• 2

• 3

Tags

CCSS.6.EE.C.9

What is the equation representing the total number of biscuits Diana can receive?

• 5F + 3B = D

• 5F + 3B <= D

• 5F + 3B >= D

• 5F + 3B > D

Tags

CCSS.2.OA.C.4

If Diana fetches 6 Frisbees and 0 balls, how many biscuits does she receive?

• 36

• 30

• 24

• 18

If Diana fetches 0 Frisbees and 10 balls, how many biscuits does she receive?

• 30

• 25

• 20

• 35

Tags

CCSS.HSF.LE.B.5

What does the point (0, 10) on the graph represent in terms of biscuits?

• 40 biscuits

• 30 biscuits

• 20 biscuits

• 10 biscuits

Tags

CCSS.HSF.LE.B.5

What does the point (6, 0) on the graph represent in terms of biscuits?

• 10 biscuits

• 40 biscuits

• 20 biscuits

• 30 biscuits

Can Diana fulfill her plan by fetching 4 Frisbees and 2 balls?

• Only if she fetches more balls

• No, she cannot

• Only if she fetches more Frisbees

• Yes, she can

What is the inequality that represents the maximum number of biscuits Diana can receive?

• 5F + 3B <= 30

• 5F + 3B >= 30

• 5F + 3B < 30

• 5F + 3B > 30