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WorksheetsApply Linear Functions
Total questions: 20
Worksheet time: 20mins
What function family do I belong to?
Linear
Quadratic
Exponential
Linear Absolute Value
What family of function is this?
Linear
Quadratic
Exponential
Reciprocal
Which function family is represented by this graph?
Linear
Exponential
Quadratic
Absolute Value
What function family does the following table represent.
Linear Function
Quadratic Function
Exponential Function
Cubic Function
Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges?
c = 26.94t
c = 18.99t + 7.95
t = 26.94c
t = 18.99c + 7.95
Printer ink costs $16.89 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $4.25, no matter the number of cartridges purchased in a single order.
Which linear function models the total cost, t, for a single order of c cartridges?
c = 21.14t
c = 16.89t + 4.25
t = 21.14c
t = 16.89c +4.25
A new discount cell phone service charges $55 a month plus $15.00 for every line on the plan. Choose the linear function that represents the relationship between the number of lines (x) and the cost of the plan (y).
y = 70x
x = 70y
y = 55 + 15x
x = 55 + 15y
The diagram shows a linear function of g. What is the value of k.
5
4
7
8
A pond in Luke's neighborhood has a depth of 81.6 inches. During the dry season, the pond loses an average of 0.02 inches of water each day. Luke wrote the function below to represent the depth of the pond in inches x days after the dry season begins. Explain Luke's error and rewrite the function correctly.
f(x) = -0.02(x + 81.6)
f(x) = -0.02x + 81.6
f(x) = -0.02x - 81.6
f(x) = -0.02(x - 81.6)
An online candy store sells 3 pounds of fudge for $54.99. Which function represents the relationship between x, the number of pounds of fudge ordered, and y, the total cost in dollars?
y=3(54.99)x
y=354.99x
y=(54.99−3)x
y=54.99x−3
Ted's Taxi service charges a $5 pick up fee plus $2 per mile. Which function describes the situation?
y=5x+2
y=2x-5
y=5x-2
y=2x+5
A taxi company charges a flat fee of $3 plus $2 per mile driven. Write the function that represents the total cost (C) as a function of the number of miles driven (m). Then, interpret the rate of change and the initial value.
C(m) = 2m + 3
C(m) = 3m + 2
C(m) = 4m + 1
C(m) = 5m + 2
Ted's Taxi service charges a $5 pick up fee plus $2 per mile. Which function describes the situation?
y=5x+2
y=2x-5
y=5x-2
y=2x+5
Ashley is saving $18 that she earned for babysitting. She earns $7 every week for doing chores at home, which she also saves. Which function can be used to find t, the total amount of money Ashley will have saved at the end of w, weeks of doing chores?
t = 7w + 18
t = 18w + 7
t = 25w
t = 18w
Which function is linear?
y=3x+1
y=2x2+7x+1
y=4x
y=2x3+9
Which functions are linear? (Check all that apply)
y=5x+1
y=3x−5
y=2x−1
y=3x2+8x
Function A is represented by the table.
Function B is represented by the equation y = 3x - 4.
Which function has the greatest rate of change (slope)?
Function A.
Function B.
Neither. They have the same slope.
There is not enough information to answer this question.
Function A is represented by the equation.
y=32x+5
Function B is represented by the graph.
Which function has the greater rate of change?
Function A
Function B
Neither. They have the same rate of change.
There is not enough information to answer this question.
Function A is represented by the equation y = 4x - 2. Function B is represented by the table.
Which of these functions has the greater rate of change?
Function A. It's rate of change is -2.
Function A. It's rate of change is 4.
Function B. It's rate of change is 2.
Function B. It's rate of change is 6.
Who has the greater rate of change?
Tyler
Aubri
Neither. They have the same rate of change.
There is not enough information to answer this question.
