1.6 Function Notation in Context Guided Practice

1.6 Function Notation in Context Guided Practice

Multiple Choice

2. 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 weeks the plant is 4 inches tall.

• After 4 weeks the plant is 5 inches tall.

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

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

Multiple Choice

The function d(x) where x=gallons of gas and d(x)= number of miles traveled.

What is the independent value?

• # of gallons of gas.

• # of miles traveled.

Multiple Choice

The function d(x) where x=gallons of gas and d(x)= number of miles traveled.

What is the dependent value?

• # of gallons of gas.

• # of miles traveled.

Multiple Choice

The function d(x) where x=gallons of gas and d(x)= number of miles traveled.

Interpret d(8)=300 in context.

Remember-

Input: independent variable

Output: dependent variable

• 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.

Multiple Choice

Coach Watkins is collecting pencils. The function p(x)=5x+12 tells us the total amount of pencils Coach Watkins has after collecting for x number of days. What is the independent variable?

• number of days

• number of pencils

Multiple Choice

Coach Watkins is collecting pencils. The function p(x)=5x+12 tells us the total amount of pencils Coach Watkins has after collecting for x number of days. What is the dependent variable?

• number of days

• number of pencils

Multiple Choice

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

Remember-

Input: independent variable

Output: dependent variable

• Coach Watkins starts with 8 pencils and ends with 52.

• After 8 days, Coach Watkins has 52 pencils.

• Coach Watkins starts with 52 pencils and gets 4 more every day.

• Every day, Coach Watkins gets 8 new pencils until she has 52.

Multiple Choice

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.

Multiple Choice

The function c(m) = 2m + 3.50 represents the cost of a taxi for m miles.

Find c(7) and explain what it represents

• c(7) = 14 The cost to ride 7 miles is $14.

• c(7) = 17.50 The cost to ride 7 miles is $17.50

• c(7) = 1.75. The cost to ride 7 miles is $1.75

• The minimum cost of a taxi is $7.

Multiple Choice

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 now makes $37 an hour instead of $9.25.

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

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

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