Reporting Category 2.22

The graph of a line passes through the points (-3, 1) and (5, 8). What is the slope of the line?

• - 9/2

• - 7/8

• 9/2

• 7/8

Which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes?

• The worker packed 8 items in boxes per minute.

• The worker packed 37 items in boxes per minute.

• The worker packed 4 items in boxes per minute.

• The worker packed 15 items in boxes per minute.

The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers. What is the rate of change of y with respect to x for this line?

• 5/2

• -6/5

• 2/3

• -5/6

The table shows the linear relationship between the distance in feet below sea level and the time in seconds traveled by a submarine. What is the rate of change of the distance in feet below sea level with respect to time that the submarine traveled?

Which graph best represents y = -4(x + 3) - 2?

• Graph F

• Graph H

• Graph G

• Graph J

Linear function k has a zero of −2 and a y-intercept of 6. Which graph best represents k?

• Graph F

• Graph H

• Graph G

• Graph J

Which situation shows causation?

• When the number of people in a bus increases, the number of animals in a zoo also increases.

• When the number of hours worked each week by an hourly employee decreases, the amount of money earned by the employee also decreases.

• When the amount of a discount for a sale increases, the number of items sold during the sale decreases.

• When the number of bike trails in a city decreases, the amount of rainfall in the city increases.

The construction manager is monitoring the progress of the build of a new house. The scatterplot and table show the number of months since the start of the build and the percentage of the house still left to build. A linear function can be used to model this relationship.

Which function best models the data?

• y = -13.5x + 97.8

• y = -13.5x + 7.3

• y = 97.8x - 13.5

• y = 7.3x - 97.8

A customer is buying bath towels and hand towels and can spend no more than $100. Each bath towel costs $8, and each hand towel costs $5. The inequality 8x + 5y ≤ 100 represents all possible combinations of x, the number of bath towels, and y, the number of hand towels the customer can buy.

Which graph best represents the solution set for this inequality?

• Graph H

• Graph I

• Graph J

• Graph G

• (-8, 8)

• (6, -5)

• (4, -6)

• (-2, -7)