Understanding Inequalities and Plant Watering

The video tutorial explains a gardening problem where a student needs to water sunflower and lily plants with a limited amount of water. It introduces variables for each plant type and sets up an inequality to represent the water usage constraints. The tutorial then solves the inequality to determine how many sunflower plants can be watered after watering a set number of lily plants. Finally, it interprets the solution, emphasizing the need for whole numbers in real-life scenarios.

What is the total amount of water available for the student to use?

• 12 liters

• 13 liters

• 11 liters

• 10 liters

What letter is used to represent sunflower plants in the inequality?

• P

• F

• L

• S

How much water does each lily plant require?

• 0.5 liters

• 0.4 liters

• 0.3 liters

• 0.6 liters

Why is the 'less than or equal to' symbol used in the inequality?

• Because we can use more than 11 liters

• Because we can use exactly 11 liters or less

• Because we can use more than 12 liters

• Because we can use less than 10 liters

If the student waters 10 lily plants, how many sunflower plants can be watered with the remaining water?

• 8

• 6

• 7

• 9

What is the first step in solving the inequality for the number of sunflower plants?

• Divide both sides by 0.5

• Multiply both sides by 0.7

• Add 0.5 to both sides

• Subtract 5 from both sides

What is the result of dividing 6 by 0.7 in the context of this problem?

• 9.57

• 10.57

• 8.57

• 7.57

Why can't the student have 8.57 sunflower plants?

• Because it's not a whole number

• Because it's not possible to have fractional plants

• Because it's less than 10 liters

• Because it's more than 11 liters

What is the maximum number of sunflower plants the student can water?

• 9

• 8

• 7

• 10

What is the significance of rounding the number of sunflower plants?

• To ensure the student uses more than 11 liters

• To ensure the student uses a whole number of plants

• To ensure the student uses less than 11 liters

• To ensure the student uses exactly 11 liters