Practice:Linear Relation & Functions

Sarah is participating in a walkathon to raise money for local literacy programs. The amount of money Sarah will raise depends on the distance she walks.
m = the amount of money Sarah will raise
d = the distance Sarah walks
The following equation can be used to find the amount of money she will raise. 
m=75d
Which of the variables is dependent?

• m
• d
• 75
• Sarah

Priya streams movies through a company that charges her a $5 monthly fee plus $1.50 per movie.  Her monthly movie cost can be found using the equation C=5+1.5m where C is the money it costs and m is the number of movies she rents. What is the dependent variable?

• the number of movies she rents
• the company that she rents from
• the money it costs
• There isn't one

The volume of a sphere is given by the formula V=4πr³, where V is the volume and r is the radius.  What is the dependent variable in this situation?

• V
• 4
• r
• π

Identify the independent variable, dependent variable, and equation in function notation for the situation.

"An amusement park charges a $6.00 parking fee plus $29.99 per person. "

• Independent: Total Cost

  Dependent: Number of Park Attendees

  Function:

  c(a) = 6+29.99a

• Independent: Total Cost

  Dependent: Number of Park Attendees

  Function:

  c(a) = 6a + 29.99a

• Independent: Number of Park Attendees

  Dependent: Total Cost

  Function:

  c(a) = 6+29.99a

• Independent: Total Cost

  Dependent: Number of Park Attendees

  Function:

  c(a) = 6a+29.99

At what rate did the rain fall?

• 2 cm per hour
• ¹/₄ cm per hour
• ¹/₂ cm per hour
• 4 cm per hour

Which section of the graph represents a rate of change of zero?

• 0-5s

• 5-10s

• 10-15s

• None of these

Find the slope of the line that passes through
(1, -19) and (-2, -7)

• -4
• 4
• 1/4
• -1/4

What is the slope shown on the table?

• m = -4

• m = $\frac{2}{3}$

• m = $\frac{3}{2}$

• m = $-\frac{2}{3}$

Find the rate of change of y with respect to x for the graph.

• The balance is increasing S450 each monthly payment

• The balance is decreasing $450 each monthly payment

• The balance is decreasing $750 each monthly payment

• The balance is increasing $750 each monthly payment

What is the cleaning cost per hour (slope)? (hrs are the x values)

• 8

• 20

• 12

• 28