CONNEXUS unit 1B sample work: slope

Answer 1

To solve for the slope in a given scenario, we need to use the formula:

Slope = (change in y) / (change in x)

Let's look at a sample scenario:

Scenario: A car is driving down a straight road. At time t=0, the car's position is 10 meters. After 5 seconds, the car's position is 40 meters.

To find the slope, we need to calculate the change in y (position) and the change in x (time).

Change in y = 40 meters - 10 meters = 30 meters
Change in x = 5 seconds - 0 seconds = 5 seconds

Now, we can plug these values into the slope formula:

Slope = (change in y) / (change in x) = 30 meters / 5 seconds = 6 meters/second

Therefore, the slope in this scenario is 6 meters/second. This means that for every 1-second increase in time, the car moves 6 meters forward.