Function Notation Word Problems

There were approximately 11,000 students enrolled at Western Carolina last year. This figure goes up by about 225 students each year. Create an equation that can be used to find y, the total number of students, if x represents the number of years? (a)  

• y=225x+11000

• y=11000x+225x

• x=225y+11000

• y=225x

3. Kadi is starting a kayak rental company. She is going to charge $20 to rent the kayak plus $5 per hour of rental. Create an equation that can be used to find y, the total cost to rent a kayak, if x represents the number of hours rented? (a)  

• y=4x

• y=20x+5

• y=5x+20

• y=100x+20

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

• After 5 week the plant is 4 inches tall

• The plant grows at a rate of 5/4 inch per week

• After 4 weeks the plant is 5 inches tall

• The plant grows at a rate of 1 inch per week

Ms. Brackemyer is collecting pencils.  The function p(x)=5x+12 tells us the total amount of pencils Ms. Brackemyer has after collecting for x number of days.  What is the meaning of p(8)=52?

• Ms. Brackemyer starts with 8 pencils and ends with 52.

• After 8 days, Ms. Brackemyer has 52 pencils.

• Ms. Brackemyer starts with 52 pencils and gets 4 more every day.

• Every day, Ms. Brackemyer gets 4 new pencils until she has 52.

Function d gives the distance of a boat from the dock t seconds after leaving the dock. Distance is measured in meters. Here is a graph that represents d. Select all statements in function notation that represent the situation.

• d(0) = 170

• d(30) = d(70)

• d(t) = 10 when t is 20

• d(170) = 0

• d(0) = 0

What does f(2) > 3 tell you?

• it takes less that 2 hours to put 3 coats of paint on the house

• it takes less that 3 hours to put 2 coats of paint on the house

• it takes more than 3 hours to put 2 coats of paint on the house

• it takes more than 2 hours to put 3 coats of paint on the house

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(7) represent?

• cost of $7 to ride the taxi

• cost to ride 7 miles

• minimum distance to ride a taxi

• minimum cost of a taxi

The function c(m) = 1.45m + 3.50 represents the cost of a taxi for m miles.
What does c(m) represent?

• Total Cost of a taxi

• Total Miles in taxi

Derek works at Subway making $9.25 an hour.  The function d(x)=9.25x tells us how much money Derek makes after x hours of working.  What is the meaning of d(4)=37?

• After 4 hours of work, Derek makes $37.

• Derek needs $4 more to have $37 total.

• After working for 4 days, Derek makes $37 total.

• After 4 hours of work, Derek now makes $37 an hour instead of $9.25.

A company is selling bubble gum.  The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum.  Find g(8) and tell what it means within the context of the problem.

• g(8)=8.  This means that after 8 packages of gum, the company makes $8.

• g(8)=42.  This means that 8 packages of gum costs $42.

• g(8)=28.  This means that 8 packages of gum costs $28.

• g(8)=24.  This means that 8 packages of gum costs $24.