Functions and Domain in Context

If the endpoint of the graphed square root is at (3,5), the domain is​ (a)   and the range is​ (b)  

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

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.

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.

The function W(x) where x=inches of rain and W(x)= # of wildflowers growing.
Interpret W(5)=75

• With 75 inches of rain, there are 5 wildflowers growing.

• When it rains for 5 days there are 75 wildflowers growing.

• There are 75 wildflowers growing.

• With 5 inches of rain, there are 75 wildflowers growing.

The math club goes to an amusement park. Student tickets cost $10 each. The bus costs $28. This is expressed as f(x) = 10x + 28. Find f(4) and explain what it means.

• f(4) = 40; It costs $40 for 4 students to go on the trip.

• f(4) = 68; 68 students can go on the trip.

• f(4) = 68; It costs $68 for 4 students to go on the trip.

• f(4) = 28; 28 students can go on the trip

The function d(x) where x=gallons of gas and d(x)= # of miles traveled.
Interpret d(8)=300 in context.

• A car with 8 gallons of gas can travel 300 miles.

• A car traveling 8 miles has 300 gallons of gas.

• A car is traveling 300 miles.

• The car traveling 8 mph can go 300 miles.