Comparing Initial Values in Linear Functions

Marion compared the y-intercept of the function, f(x), shown in the table, to the y-intercept of the function, g(x), on the graph.

What is the distance between the y-intercepts of f(x) and g(x)?

• 0 units

• 4 units

• 12 units

• 20 units

• The y-intercept of Function A is less than the y-intercept of Function B.

• The y-intercept of Function A is greater than the y-intercept of Function B.

• The y-intercept of Function A is equal to the y-intercept of Function B.

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

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. If Janet is planning on inviting 24 guests, which coordinator should she use?

• Coordinator A

• Coordinator B

• Coordinator C

• Coordinator D

Compare the initial values of each function.

• The initial value of item I is greater than the initial value of item II.

• The initial value of item I is equal to the initial value of item II.

• The initial value of item II is greater than the initial value of item I.

Two linear functions are shown below. Which function has the greater initial value?

• Function A

• Function B

Which company costs more at the starting cost? With How much?

• Homework Lifeline as $ 0.5

• Homework Lifeline as $25

• Homework Lifeline as $10

• Homework SOS as $10

What is the greater initial value?

• 
• 
• If you start with 60 points and get 1 point per assignment.

• y = 1x + 50

• They're all the same!

Donald's bank account is modeled by the following function where x equals the number of months and f(x) equals the total balance. f(x) = 15x + 50

Joe's bank account balances after monthly deposits are shown in the table.

What were the initial balances for both Donald and Joe?

• Donald's was $15 and Joe's was $12.

• Donald's was $50 and Joe's was $12.

• Donald's was $50 and Joe's was $65.

• Donald's was $15 and Joe's was $65.

• A

• B

• C

• D