Farmer Jan's Vegetable Yield Analysis

The video tutorial discusses Farmer Jan's division of his field between broccoli and spinach crops. It details the crop yields from last year and this year, leading to a system of equations to determine the acreage of each crop. The tutorial explains the process of setting up and solving these equations, ultimately concluding that there are infinite solutions due to insufficient information.

What crops does Farmer Jan grow on his field?

• Corn and Wheat

• Carrots and Lettuce

• Broccoli and Spinach

• Tomatoes and Peppers

How many tons of broccoli did Farmer Jan grow per acre last year?

• 3 tons

• 2 tons

• 9 tons

• 6 tons

What was the total yield of vegetables last year?

• 120 tons

• 60 tons

• 93 tons

• 31 tons

How many tons of spinach did Farmer Jan grow per acre this year?

• 3 tons

• 6 tons

• 9 tons

• 2 tons

What is the total yield of vegetables this year?

• 31 tons

• 120 tons

• 93 tons

• 60 tons

What variable is used to represent the number of acres of broccoli?

• b

• s

• y

• x

What is the equation for the total yield of vegetables last year?

• 2b + 9s = 31

• 6b + 3s = 93

• 2b + 3s = 31

• 6b + 9s = 93

What is the equation for the total yield of vegetables this year?

• 6b + 3s = 93

• 2b + 3s = 31

• 6b + 9s = 93

• 2b + 9s = 31

What happens when you try to solve the system of equations?

• Unique solution

• No solution

• Infinite solutions

• Negative solution

Why is there an infinite number of solutions to the system of equations?

• Variables are dependent

• Incorrect equations

• Not enough information

• Too many variables