Interpreting and Comparing Functions

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Write the equations for this table of values

Mathematical Equivalence

ON

Mathematical Equivalence

ON

• a

• b

• c

• d

Answer explanation

Write the equation for the graph: y=1/3x+2 then use it by plugging in 15 for x to get the corresponding y

Function 1 is represented by the table above: Function 2 is represented by the equation y = 2x – 4. Which statement is true?

• Function 1 has a greater rate of change than Function 2.

• Function 2 has a greater rate of change than Function 1.

• They have the same rate of change

• Function 1 has a positive rate of change, and Function 2 has a negative rate of change.

The equation c = 0.20t + 3.50 shows the relationship between the charge c in dollars for renting a kayak for t minutes.What is the meaning of the y-intercept?

• It costs $3.50 per minute to rent a kayak.

• For $0 you can rent a kayak for 3.5 minutes.

• Every 3.50 minutes, you have to pay $1.00.

• You have to pay $3.50 up front before using the kayak.

Which has the greatest rate of change?

• Equation

• Table

• Graph

Which equation has a steeper slope?

• Equation A

• Equation B

• They have the same steepness, even though one is negative and one is positive

• This cannot be determined

Use the image and determine which company has a greater initial value.

• Company X

• Company G

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image. Which coordinator charges the greatest initial fee?

• Coordinator A

• Coordinator B

• Coordinator C

• Coordinator D