Unit 4 Lesson 10 Practice Problems

The cost for an upcoming field trip is $30 per student. The cost of the field trip C, in dollars, is a function of the number of students x.

Select all the possible outputs for the function defined by C(x)=30x.

• 20

• 30

• 50

• 90

• 100

A rectangle has an area of $24\ cm^2$ . Function f gives the length of the rectangle, in centimeters, when the width is w cm. Determine if each value, in centimeters, is a possible input of the function. 

• 3

• 0.5

• 48

• -6

• 0

Select all the possible input-output pairs for the function $y=x^3$ .

• (1,1)

• (-2,8)

• (3,9)

• (1/2, 1/8)

• (1, -1)

A small bus charges $3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take it, and it cannot fit more than 10 people.

Function B gives the amount of money that the bus operator earns when n people ride the bus.

Select all the possible inputs

• 3-10

• 4-11

• 2-10

• 10-15

Two functions are defined by the equations $f\left(x\right)=5-0.2x$ and  $g\left(x\right)=0.2\left(x+5\right)$ .

Select all the statements that are true about the functions. 

• f(3)>0

• f(3)>5

• g(-1)=0.8

• g(-1)<f(-1)

• f(0)=g(0)

The graph a function f passes through the coordinate points (0,3) and (4, 6).

Use function notation to write the information each point gives us about function f.

• f(0)=3

• f(4)=6

• f(3)=0

• f(6)=4

• A:2 B:3 C:1 D:4

• A:3 B:2 C:4 D:1

• A:2 B:3 C:4 D:1

• A:3 B:2 C:1 D:4

Does graph A have a negative rate of change.

• Yes

• No

What is "Rate of Change"?

• The slope between two points

• $\frac{y_2-y_1}{x_2-x_1}$

• The difference in two points

• The rate at which the dependent variable changes with the independent variable.

Does graph C have a negative rate of change?

• Yes between episode 5 and episode 6

• No it is all positive