Scientists estimate the rate of a wildbeest running at full speed to be 66 per second. Write a function rule to describe the relationship between the time, t, and the distance, d, a wildebeest travels when running at full speed.
A: t=66d
B: 66=d•t
C: d=66/t
D: d=66t
d = 66t.
D=66t
The correct function rule to describe the relationship between time (t) and distance (d) when a wildebeest is running at full speed is C: d = 66/t.
To understand why C is the correct answer, we need to analyze the situation. The question states that the rate of a wildebeest running at full speed is 66 per second. This implies that for every second the wildebeest runs, it covers a distance of 66 units.
Since we want to express the distance (d) in terms of time (t), we need to rewrite the equation to isolate d. To do that, we can rearrange the equation d = 66/t. This equation states that the distance covered is equal to 66 divided by the time taken.
This makes sense because if the time taken increases, the distance covered will decrease, as the wildebeest is not running as fast. Similarly, if the time taken decreases, the distance covered will increase, as the wildebeest is running faster.
Therefore, the correct function rule is C: d = 66/t.