Question
Using the variables for distance (d) and time (t), select the equation to model this situation.(1 point) Responses t=d+57.5 t is equal to d plus 57 point 5 t=12.5d t is equal to 12 point 5 d d=12.5t d is equal to 12 point 5 t d=0.08t
Answers
GPT-4o mini
To select the correct equation to model the relationship between distance (d) and time (t), we need to understand the context of the relationship. In general, if distance (d) is related to time (t) through a constant speed (v), the equation can be expressed as:
\[ d = v \cdot t \]
From the options provided, we will evaluate each equation for plausibility:
1. **t = d + 57.5** - This is not the standard distance-time relationship.
2. **t = 12.5d** - This suggests time is proportional to distance, but in a typical distance vs. time model, time is not on the left side.
3. **d = 12.5t** - This means distance is equal to 12.5 times time, which suggests a constant speed of 12.5 units of distance per unit of time.
4. **d = 0.08t** - This indicates a much lower speed, with distance being 0.08 times time.
Out of these options, the most standard equation that models distance as a function of time and indicates a speed is:
**d = 12.5t**
So, the correct answer is:
**d = 12.5t**
\[ d = v \cdot t \]
From the options provided, we will evaluate each equation for plausibility:
1. **t = d + 57.5** - This is not the standard distance-time relationship.
2. **t = 12.5d** - This suggests time is proportional to distance, but in a typical distance vs. time model, time is not on the left side.
3. **d = 12.5t** - This means distance is equal to 12.5 times time, which suggests a constant speed of 12.5 units of distance per unit of time.
4. **d = 0.08t** - This indicates a much lower speed, with distance being 0.08 times time.
Out of these options, the most standard equation that models distance as a function of time and indicates a speed is:
**d = 12.5t**
So, the correct answer is:
**d = 12.5t**