The graph below shows the height through which an elevator travels, y, in x seconds:
A graph is shown with x axis title as Time in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 50 in increments of 10 for each grid line. A line is shown connecting points at ordered pairs 1,10 and 2, 20 and 3, 30 and 4, 40. The title of the graph is Rate of Ascent.
What is the rate of change for the relationship represented in the graph? (1 point)
fraction 1 over 40
fraction 1 over 10
10
40
The rate of change for the relationship represented in the graph is 10, as the elevator is ascending at a constant rate of 10 feet per second.
The graph shows the number of sprays an automatic air freshener dispenses, y, in x minutes:
A graph is shown. On the x-axis, the values are from 0 till 150 in increments of 30 for each grid line, and on the y-axis, the values are from 0 to 10 in increments of 2 for each grid line. The title of the graph on the x-axis is Time in minutes, and the title on the y-axis is Number of Sprays. A line is shown connecting ordered pairs 30, 2 and 60, 4 and 90, 6 and 120, 8. The title for the graph is Dispense Rate.
Which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays? (1 point)
fraction 30 over 2
fraction 2 over 30
fraction 30 over 8
fraction 8 over 30
The expression that can be used to calculate the rate per minute at which the air freshener dispenses sprays is fraction 2 over 30. This is because the graph shows a linear relationship where for every 30 minutes, there is an increase of 2 sprays.
The table and the graph below each show a different relationship between the same two variables, x and y:
A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 4,80 and 5,100 and 6,120 and 7,140. On the right of this table is a graph. The x-axis values are from 0 to 10 in increments of 2 for each grid line. The y-axis values on the graph are from 0 to 350 in increments of 70 for each grid line. A line passing through the ordered pairs 2, 70 and 4, 140 and 6, 210 and 8, 280 is drawn.
How much more would the value of y be on the graph than its value in the table when x = 12? (1 point)
20
90
150
180