Milkshake Consumption and Linear Equations

The video tutorial covers Math 8 Unit 4 Lesson 12 on systems of equations. It begins with an introduction to the concept, followed by practical problems involving milkshakes, hiking, and stacks of cups to illustrate the application of systems of equations. The tutorial also discusses graphing these systems, focusing on slopes, intercepts, and intersection points. It concludes with an exploration of different types of solutions, including no solution, one solution, and infinitely many solutions.

What is the initial amount of milkshake Lynn starts with?

• 10 oz

• 12 oz

• 20 oz

• 15 oz

At what rate does Diego drink his milkshake?

• 1/3 oz per second

• 2/3 oz per second

• 1/4 oz per second

• 1 oz per second

How long does it take for Lynn to finish her milkshake?

• 48 seconds

• 30 seconds

• 60 seconds

• 72 seconds

What is the slope of the line representing Diego's milkshake consumption?

• -1

• -2/3

• -1/3

• -1/4

What does the intersection point of the milkshake graph represent?

• The time when both start drinking

• The time when both have finished their milkshakes

• The time when both stop drinking

• The time when both have the same amount of milkshake left

How far is Jada from the parking lot when Han starts his return?

• 4 miles

• 7 miles

• 5 miles

• 6 miles

What is Han's speed on the hiking trail?

• 3.2 mph

• 2.4 mph

• 5.6 mph

• 4.8 mph

What is the equation for Jada's distance from the parking lot?

• D = 3.2t + 6

• D = 2.4t + 4.8

• D = 2.4t - 4.8

• D = 3.2t - 6

Where do Han and Jada meet on the trail?

• At the lake

• At the parking lot

• 5 miles from the parking lot

• 3 miles from the parking lot

What is the height equation for a stack of small cups?

• H = 1.5n + 6

• H = 1.5n + 9

• H = 2n + 9

• H = 2n + 6