Linear vs Nonlinear Functions Increasing Decreasing

Is the table linear or nonlinear? Why?

• Linear because it has a constant rate of change

• Linear because none of the x values repeat

• Nonlinear because it does not have a constant rate of change

• Nonlinear because the y value of 11 repeats

Write an equation for the graph.

• y = 1x + 8

• y = 2x + 8

• y = 4x + 8

• y = 8x + 8

The graph shows the number of homework problems Amanda has remaining based on the number of minutes she has been working. Which of the following statements is NOT true?

• Amanda started with 30 homework problems.

• Amanda finishes 3 homework problems every 2 minutes.

• Amanda finishes 1 homework problem every 2 minutes.

• After 10 minutes Amanda has finished half of her homework.

A local boutique sells water bottles for a set price. They then charge an additional fee for each letter that customers would like engraved on their water bottle. The pricing is shown in the table. What does the slope mean in the context of this problem?

• The total cost is $0.35.

• The total cost is $18.99.

• It costs $18.99 per letter.

• It costs $0.35 per letter.

A local boutique sells water bottles for a set price. They then charge an additional fee for each letter that customers would like engraved on their water bottle. The pricing is shown in the table. What does the y-intercept mean in the context of this problem?

• The total cost is $18.99 to have a water bottle engraved with any name on it.

• The cost of the water bottle is $18.99 with zero letters engraved on it.

• It costs $18.99 per letter that you have engraved on the water bottle.

• It costs $0.35 per letter that you have engraved on the water bottle.

Which ordered pair could be added to the graph and it would still remain a function?

• (3, 5)

• (5, 3)

• (7,6)

• (1, 7)

Which of the following is a nonlinear function?

Write an equation in slope intercept form for the line that has a slope of 12 and passes through the point (3, 20).

• y = 12x - 16

• y = 12x - 237

• y = 12x - 48

• y = 12x + 17

Which is true about the function shown between x = 2 and x = 4?

• linear and increasing

• linear and decreasing

• nonlinear and increasing

• nonlinear and decreasing

The distance vs. time graph below shows the progress of two different runners during a race.

TRUE or FALSE? Runner A finished the race before Runner B.

• True

• False