Algebra 1 Unit 4 Review

Which equation represents the function?

The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function, C, can be represented with this set of rules.

How much does it cost to have a party with 15 people?

• $150

• $260

• $400

The cost of holding a children's birthday party at a rollerskating rink is a function of n, the number of people in the party. The cost function, C, can be represented with this set of rules.

How much does it cost to have a party with 12 people?

• $150

• $260

• $400

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. In this situation, what information would the inverse function give us?

• The number of visits

• How many gym visits if we know the monthly cost

• The cost of a membership

• The monthly cost if we know the gym visits

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the inverse function.

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(8) and explain what it means in this situation.

• $54; it means that 8 visits cost $54.

• $75; it means that 8 visits will cost $75.

• 8 visits will cost $62.

• 8 visits will cost $82.

Function p represents the number of people in the museum on a Tuesday as a function of hours since the museum opened.

Here is the graph of function p.

Based on the graph and the situation, which domain and range make sense for function p?

• Domain: all numbers from 0 to 85. Range: all numbers from 0 to 14.

• Domain: whole numbers only from 0 to 14. Range: whole numbers only from 0 to 85.

• Domain: all numbers from 0 to 14. Range: whole numbers only from 0 to 85.

• Domain: whole numbers only from 0 to 14. Range: all numbers from 0 to 85.

Farmer John uses a function to determine the weight of his cows. Function c gives the weight of a cow, in pounds, when it is y years old. Which statement represents the meaning of the equation c(3) = 250 in this situation?

• The weight of the cow is 250 kilograms when it is 3 months old.

• The weight of the cow has been 3 pounds for 250 months.

• The cow weights 250 pounds when it is 3 years old.

• The cow weighs 3 pounds when it is 250 years old.

Luke is driving home from work. Let D(t) denote Luke's remaining distance to drive D (measured in miles) after t minutes of driving. What does the statement D(0) = 10 mean?

• Luke's remaining distance is 0 miles after 10 minutes.

• Luke's remaining distance is 10 miles after 0 minutes.

• Luke has driven for 10 minutes at 0 miles per hour.

• Luke has driven for 0 minutes at 10 miles per hour.

Function s gives the elevation in meters of Jai and her friend t minutes after they left the base camp at the Vail ski resort. Select all statements in function notation that represent the situation:

• s(20) > s(30)

• s(35) = 10

• s(t) = 60 when t is 30.

• s(15) = 20

• s(35) > s(5)