Question

Julian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d=0.5+5t can be used to relate the total distance, d, in miles to the time, t, that Julian spent jogging. What are the independent and dependent variables?

Answer 1

The independent variable is time (t) and the dependent variable is total distance (d). To make a graph, plot time on the x-axis and total distance on the y-axis.

Step-by-step explanation:

The independent variable in the given equation is the time, t. It represents the amount of time Julian spent jogging. The dependent variable is the total distance, d. It represents the distance Julian traveled while jogging.

Using the equation d = 0.5 + 5t, we can plug in different values for t to find corresponding values for d. For example, if Julian jogs for 1 hour (t=1), the total distance she would have traveled is 0.5 + 5(1) = 0.5 + 5 = 5.5 miles.

To make a graph of position versus time, we can plot the time (independent variable) on the x-axis and the total distance (dependent variable) on the y-axis. Each point on the graph represents a specific time and the corresponding distance traveled by Julian.

Answer 2

Independent variable would be time.

Dependent variable would be distance, since the distance is dependent on the time spent jogging.