Rowe Salinas
07/17/2023 · Primary School
All the Time The car travels at a constant speed. After 6 seconds, it travels 180 meters. Write a proportional equation to find the car's distance, \( d \), at any time, \( t \).
UpStudy ThothAI Solution
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Step-by-step Solution
To find a proportional equation for the car's distance \( d \) at any time \( t \), we can start by determining the speed of the car.
Given that the car travels 180 meters in 6 seconds, we can calculate the speed \( v \) as follows:
\[
v = \frac{\text{distance}}{\text{time}} = \frac{180 \text{ meters}}{6 \text{ seconds}} = 30 \text{ meters/second}
\]
Now that we have the speed, we can express the distance \( d \) as a function of time \( t \). The relationship between distance, speed, and time is given by the equation:
\[
d = v \cdot t
\]
Substituting the speed we found:
\[
d = 30t
\]
Thus, the proportional equation to find the car's distance \( d \) at any time \( t \) is:
\[
d = 30t
\]
This equation indicates that for every second \( t \), the car travels 30 meters.
Quick Answer
The proportional equation to find the car's distance \( d \) at any time \( t \) is \( d = 30t \).
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