The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:
A graph titled Distance Vs Time is shown, with Time in hours labeled on x axis and Distance from Island in miles labeled on y axis. The scale on the x axis shows the numbers 1, 2, 3, 4, 5, 6, 7, and the scale on the y axis shows the numbers 0, 22, 44, 66, 88, 110, 132, 154, 176, 198. The graph shows a straight line joining the ordered pairs 0, 22, and 1, 66, and 2, 110, and 3, 154, and 4, 198.
What is the speed of the motorboat? (5 points)
198 miles per hour
22 miles per hour
44 miles per hour
66 miles per hour
To find the speed of the motorboat, we need to find the slope of the line on the graph. The slope is equal to the change in distance (y) divided by the change in time (x).
The change in distance is 198 - 22 = 176 miles.
The change in time is 4 - 0 = 4 hours.
The slope is therefore 176/4 = 44 miles per hour.
Therefore, the speed of the motorboat is 44 miles per hour.
last 2
Which graph best represents a decreasing function? (5 points)
A graph shows a non linear curve that joins the ordered pairs 0, 0, and 3, 1.5, and 5, 5.
A graph shows a straight line that joins the ordered pairs 5, 0 and 5, 5.
A graph shows a non linear curve that joins the ordered pairs 0, 5, and 1, 2, and 5, 0.
A graph shows a straight line that joins the ordered pairs 0, 3 and 5, 3.
The graph that best represents a decreasing function is the one that shows a non-linear curve that joins the ordered pairs 0, 5, and 1, 2, and 5, 0. In this graph, as the x-values increase, the corresponding y-values decrease. This indicates that the function is decreasing.
last 1
A truck travels from a factory to a gas station in 3 minutes. It stops at the gas station for 2 minutes. The truck then returns to the factory in 5 minutes. Which graph best represents the distance, y, in miles, of the truck from the factory after a certain amount of time, x, in minutes? (5 points)
A graph shows Time in minutes along the x-axis and Trucks distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 3. The second straight line joins 2, 3 and 4, 3, and the third straight line joins ordered pair 4, 3 with the ordered pair 10, 0.
A graph shows Time in minutes along the x-axis and Trucks distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 3. The second straight line joins 2, 3 and 5, 3, and the third straight line joins ordered pair 5, 3 with the ordered pair 10, 0.
A graph shows Time in minutes along the x-axis and Trucks distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 3. The second straight line joins 3, 3 and 6, 3, and the third straight line joins ordered pair 6, 3 with the ordered pair 10, 0.
A graph shows Time in minutes along the x-axis and Trucks distance from factory in miles along the y axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 3. The second straight line joins 3, 3 and 5, 3, and the third straight line joins ordered pair 5, 3 with the ordered pair 10, 0.
The graph that best represents the distance, y, in miles, of the truck from the factory after a certain amount of time, x, in minutes is the one that shows Time in minutes along the x-axis and Truck's distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins the ordered pair 0, 0 with 3, 3. The second straight line joins 3, 3 and 5, 3. The third straight line joins the ordered pair 5, 3 with the ordered pair 10, 0.
This graph represents the truck traveling from the factory to the gas station in 3 minutes (reaching a distance of 3 miles), stopping at the gas station for 2 minutes (maintaining the same distance), and then returning to the factory in 5 minutes (maintaining the same distance).