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Function Study Guide

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Can the table represent a function?

a)

No because 10 and 20 have the same output.

b)

Yes because for every input there is a unique output.

2.

Kelly can tune 4 cars in 3 hours.  If we assume he works at a constant rate, we can describe the situation using a function.  Write the function that represents Kelly's constant rate of work.

a)

 y=34xy=\frac{3}{4}x  

b)

 y=43xy=\frac{4}{3}x  

c)

 y=3.4xy=3.4x  

d)

 y=4.3xy=4.3x  

3.

A food bank distributes cans of vegetables every Saturday. The table shows then umber of cans they have distributed since the beginning of the year. Assume that this total is a linear function of the number of weeks that have passed. Write the linear equation that describes the total number of cans handed out, y, in terms of the number of weeks, x, that have passed.

a)

y=180xy=180x

b)

y=x+180y=x+180

c)

y=1180xy=\frac{1}{180}x

4.

Water flows from a faucet into a bathtub at the constant rate of 7 gallons of water pouring every 2 minutes.  The bathtub is initially empty, and its plug is in.  How long will it take to fill a 50 gallon tub?

a)

about 25 minutes

b)

about 7 minutes

c)

about 14 minutes

d)

about 15 minutes

5.

A function has the table of values that shows the total cost for a certain number of football tickets purchased. Is the function linear, if so what is the cost of a ticket.

a)

 NonlinearNonlinear  

b)


 Linear, y=6.25xLinear,\ y=6.25x  

c)

 Not DiscreteNot\ Discrete  

d)

 Discrete, y=6.25xDiscrete,\ y=6.25x  

6.

The local park needs to replace an existing fence that is 6 feet high. Fence Company A charges $7,000 for building materials and $200 per foot for the length of the fence. Fence B charges solely on the length of the fence. That is, the total cost of the six-foot high fence will depend on how long the fence is. The table represents some inputs and their corresponding outputs that the cost function for Fence Company B assigns. It is a linear function. Which company charges a higher rate per fencing?

a)

Fence Company A

b)

Fence Company B

7.

At what number of the length of the fence would the cost from each company be the same?

a)

about 35 feet

b)

about 116 feet

c)

about 27 feet

d)

about 117 feet

8.

If the fence you need were 190 feet in length, which company would be a better choice?

a)

Fence Company A

b)

Fence Company B

9.

Consider the equation:

 y=x2−4y=x^2-4  
Do you consider it a function?

a)

Yes

b)

No

10.

A parking meter has a limit of 1 hour. The cost is $0.25 per 15 minutes and the meter accepts quarters only. Is the graph discrete or not discrete?

a)

Discrete

b)

Not Discrete