Algebra Unit Review

Which equation represents the 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 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.

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

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.

Ronaldo's class had a math quiz where the grades were between 0 and 10. Let N(g) denote the number of students N whose grade on the exam was g. What does N(8) = 12 mean?

• 12 of the students in Ronaldo's class took 8 minutes to finish the quiz.

• 8 of the students in Ronaldo's class took 12 minutes to finish the quiz.

• There were 8 students in Ronaldo's class who received a grade of 12.

• There were 12 students in Ronaldo's class who received a grade of 8.

Function b gives the distance in miles of Igor h hours after he started his daily school bus route. Select all statements in function notation that represent the situation:

• b(1) = 8

• b(7) = 4

• b(h) = 16 when h is 5.

• b(2) =b(7)

• b(8) = 0

When a field goal kicker kicks a football, the football travels both vertically and horizontally. The graph shows the height of the football measured in meters based on its horizontal distance measured in meters. Select all statements that are true about the graph and the situation it represents:

• The football hits the ground after traveling 35 meters across the football field.

• The function has the minimum value at the vertical intercept.

• The horizontal intercept is when the ball goes through the field goal posts.

• There are multiple times in the graph that the football is at its minimum value.

• The football 6 meters high at some point between 35 and 40 meters from where it was kicked.