Mickey is traveling at a constant speed on his bicycle. The graph shows how d, the total distance traveled, depends on t, the time in hours.

Question

The graph titled Bike Trip reading shows distance traveled in miles on the vertical axis labeled d and time in hours on the horizontal axis labeled t. A line passing through (0, 0) and (1, 12), is shown.

What can be concluded from the information on the graph?

A.
Mickey is riding at a speed of 11 miles per hour.

B.
Mickey rode a total of 12 miles.

C.
Mickey rode a total of 11 miles.

D.
Mickey is riding at a speed of 12 miles per hour.

Answer 1

From the information provided about the graph, we can analyze the slope of the line that represents Mickey's travel. The line passes through the points (0, 0) and (1, 12).

1. The point (0, 0) indicates that at time t = 0 hours, the distance d = 0 miles.
2. The point (1, 12) indicates that at time t = 1 hour, the distance d = 12 miles.

To find the speed, we can calculate the change in distance divided by the change in time. The formula for speed is:

\[ \text{Speed} = \frac{\Delta d}{\Delta t} \]

Here, \(\Delta d = 12 - 0 = 12\) miles and \(\Delta t = 1 - 0 = 1\) hour.

Thus, the speed is:

\[ \text{Speed} = \frac{12 \text{ miles}}{1 \text{ hour}} = 12 \text{ miles per hour} \]

Based on this analysis, the correct conclusion is:

D. Mickey is riding at a speed of 12 miles per hour.