Jake's Water Bill Inequalities

The video tutorial explains how to calculate Jake's water bill, which includes a flat fee and a variable cost based on water usage measured in CCFs. The goal is to determine the maximum number of CCFs Jake can use without exceeding an $80 budget. The process involves setting up an equation, solving an inequality, and calculating the maximum usage by rounding down to ensure the bill remains within budget.

What is the fixed monthly fee for Jake's water bill?

• $20.00

• $26.08

• $30.00

• $28.50

Tags

CCSS.HSF-LE.A.1B

How much does Jake pay per CCF of water used?

• $2.00

• $2.50

• $3.00

• $1.50

Tags

CCSS.HSA-SSE.A.1A

What does the variable 'n' represent in the expression for Jake's water bill?

• The total cost of the water bill

• The fixed monthly fee

• The total water usage in gallons

• The number of CCFs used

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

What is the expression for Jake's water bill?

• 26.08 + 2.5n

• 26.08n + 2.5

• 2.5n + 26.08n

• 2.5 + 26.08n

Tags

CCSS.7.EE.B.4B

What inequality represents Jake's condition for his water bill?

• 26.08 + 2.5n < 80

• 26.08 + 2.5n ≤ 80

• 26.08 + 2.5n > 80

• 26.08 + 2.5n = 80

Tags

CCSS.6.EE.B.8

What is the first step in solving the inequality for n?

• Divide both sides by 2.5

• Add 26.08 to both sides

• Subtract 26.08 from both sides

• Multiply both sides by 2.5

Tags

CCSS.6.EE.B.8

After isolating the variable term, what is the simplified inequality?

• 2.5n ≤ 53.92

• 2.5n ≥ 53.92

• 2.5n < 53.92

• 2.5n = 53.92

Tags

CCSS.6.EE.B.8

What is the final step to solve for n in the inequality?

• Subtract 2.5 from both sides

• Divide both sides by 2.5

• Multiply both sides by 2.5

• Add 2.5 to both sides

What is the maximum number of CCFs Jake can use without exceeding his budget?

• 20

• 21

• 23

• 22

Why must Jake round down the number of CCFs he can use?

• To ensure the bill is exactly $80

• To reduce the fixed fee

• To avoid exceeding the $80 limit

• To use more water