Final answer:
The automobile's acceleration is -0.75 m/s², which indicates deceleration since the vehicle is slowing down.
Step-by-step explanation:
To calculate the automobile's acceleration, we use the formula for average acceleration, which is a = Δv/Δt, where Δv is the change in velocity and Δt is the change in time. The driver slows from 24 m/s to 15 m/s, which is a change of -9 m/s (Δv = v_f - v_i = 15 m/s - 24 m/s = -9 m/s), over 12 seconds (Δt = 12 s).
Now, we can calculate the acceleration:

The negative sign indicates that this is indeed a deceleration, as the driver is slowing down.