Modeling Functions

The graph shows the amount of money you owe a bank after x months. What does the x-intercept mean?

• The amount of money you owe initially

• The number of months it took to pay back all the money

• The amount of money paid each month

• The number of months it took to pay half the money back

Tags

CCSS.HSF.LE.B.5

The graph represents the money in a savings account.  What is the meaning of the y-intercept?

• The initial deposit was $30
• $30 is added to the account each week
• It took 30 weeks to same enough money to open an account
• not enough information

Tags

CCSS.HSF.LE.B.5

The graph represents the height of a burning candle.  What is the meaning of the y-intercept?

• the time it takes to burn the entire candle
• the rate at which the candle is losing height
• the change in the height of the candle each hour
• the original height of the candle

Tags

CCSS.HSF.LE.B.5

The equation y = 3x + 8 models the amount of snow in inches(y) after x hours.

Interpret the y-intercept

• 8 inches of snow falls in 3 hours.

• 3 inches of snow falls in 8 hours.

• When we started measuring, there were already 8 inches of snow on the ground.

• Every hour, 3 new inches of snow accumulates.

Tags

CCSS.HSF.LE.B.5

Janice is saving money for retirement. The equation y = 500x + 12,000 models her retirement savings where y is the total she has saved in dollars, and x is the number of months.

Interpret the y-intercept.

• Janice started with $500 in her account

• Janice started with $12,000 in her account

• Each month, Janice saves an additional $500

• Each month, Janice saves an additional $12,000

Tags

CCSS.HSF.LE.B.5

What is the rate of change (slope) to rent a raft from Water's Edge Rafts?

• $6 per hour
• $5 per hour
• $1 for 6 hours
• $1 for 5 hours

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is the rate of change (slope) to rent a raft from Ryan's Rafts?

• $15 per hour
• $2.25 per hour
• $17.25 per hour
• $1 per hour

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which company shows a greater rate of change?

• Water's Edge Rafts
• Ryan's Rafts

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Compare the rates of change. Which statement is true about functions A and B?

• They have the same rate of change
• A has a greater rate of change than B
• A and B both have negative rates of change
• A has a negative ROC and B has a positive ROC

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Who is losing weight faster?

• Valerie
• Oscar
• Mrs. Conte
• They are losing the same amount of weight

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9