NC.8.F.5 Exam Prep

Function K and Function L can be represented as shown.

Function K: y = -x - 2

Function L: See table

Which statement correctly compares the rates of change of functions K and L?

• The slope of function K is -1 and the slope of function L is -1, so their rates of change are equal.

• The slope of function K is -1 and the slope of function L is 1, so function L is changing at a faster rate.

• The slope of function K is -2 and the slope of function L is 8, so function L is changing at a faster rate.

• The slope of function K is -1 and the slope of function L is -1, so function K is changing at a faster rate.

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NC.8.F.2

A function is a rule that assigns to each input exactly 1 output, and functions can be represented in various ways. Function A is a graph, while Function B is a verbal description.

Function A is shown as a graph.

Function B: The variable y is 1 more than ¹/₂ of x.

The y-intercept of Function A is (a)   the y-intercept of Function B.

• twice
• the same as

• 1 more than
• 1 less than

Which representation shows a rate that is equal to 5 meters per second?

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• Graph through points (0,0), (1.5,7.5), (3,15).

• y = 6x, where x represents seconds and y represents meters.

• An object travels 22 meters in 4 seconds.

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NC.8.F.2

A painter charges a one-time setup fee of $100 and $40 per wall painted. Which table represents a painter with a greater per-wall rate than this painter?

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NC.8.F.2

Function A is given by the equation y = 5x + 2. Function B is given by the table shown.

Function A has a (a)   than Function B.

• greater rate of change
• smaller rate of change

• greater y-intercept

• smaller y-intercept

Caterer A charges a fixed service fee of $100 plus $15 per person.

Caterer B's pricing is shown on the table.

For an event with 75 guests, what is the difference in total cost between Caterer A and Caterer B?

Mathematical Equivalence

ON

"Smart Study Tutors" uses the equation y = 40x + 20 to calculate the cost, y, for x hours of online tutoring. The prices for "Ace Academics" are listed on the table. A student needs 2.5 hours of tutoring. Which service charges less and by how much less?

• Smart Study Tutors charges $10.00 less than Ace Academics.

• Ace Academics charges $10.00 less than Smart Study Tutors.

• Smart Study Tutors charges $20.00 less than Ace Academics.

• Both Smart Study Tutors and Ace Academics charge the same amount.

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NC.8.F.2

Order the typists from fastest to slowest based on their typing progress data. Which of the following is correct?

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Mr. Harrison offers tutoring services at a rate of $60 per session plus a $25 one-time registration fee. Ms. Davis's tutoring charges are represented by the table:

Which statement is true?

• Mr. Harrison charges $5 more per session than Ms. Davis.

• Ms. Davis charges $5 more per session than Mr. Harrison.

• Both tutors charge the same amount per session.

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NC.8.F.2