Use the slope formula $\dfrac{\Delta y}{\Delta x}$, but here $x$ is time $t$ and $y$ is altitude. Compute the change in altitude and the change in time between the two points.

Once you find the numerical slope, attach the correct units (what is on the vertical axis over what is on the horizontal axis?) and decide whether the function is increasing or decreasing based on the sign of the slope.

In Desmos, type (92-56)/(10-4) as an expression. Desmos will output a single number, which is the slope in meters per second between the two points. Use this value, along with the fact that altitude is increasing from 56 to 92 meters, to choose the option that matches both the rate and the direction of change.

We are told the drone is 56 meters high after 4 seconds and 92 meters high after 10 seconds.

So we have two points on the graph of $y=g(t)$:

• $(t, y) = (4, 56)$
• $(t, y) = (10, 92)$

To find slope, we need the change in altitude (change in $y$) and the change in time (change in $t$).

• Change in altitude: $92 - 56 = 36$ meters
• Change in time: $10 - 4 = 6$ seconds

Slope for a linear function is

This simplifies to $6$.

Since $y$ is measured in meters and $t$ in seconds, the units of the slope are meters per second.

The positive slope $6$ meters per second means that for every additional second, the drone’s altitude goes up by 6 meters (it is climbing, not descending).

Therefore, the correct interpretation is: 6 meters per second; the drone’s altitude increases by 6 meters each second.