Alex rides 45 miles in 3 hours. Write an equation that shows the relationship between the distance, d and the time, t that he rides if Alex rides at a constant rate of speed?
D(Distance) = 15T(Time)
Is this right
correct.
wrong
No, the equation you mentioned is not correct. The correct equation showing the relationship between distance, d, and time, t, if Alex rides at a constant rate of speed is:
d = r * t
where:
- d represents the distance traveled (in this case, 45 miles),
- r represents the rate of speed, and
- t represents the time traveled (in this case, 3 hours).
Therefore, the correct equation would be:
45 = r * 3
Yes, that is correct!
To understand how you arrived at the equation D(Distance) = 15T(Time), let's break it down.
From the given information, Alex rides 45 miles in 3 hours. To write an equation that relates the distance (D) and the time (T), we need to find a constant rate at which Alex is riding.
We can calculate the rate (R) by dividing the distance by the time: R = D / T.
Substituting the given values, we have:
R = 45 miles / 3 hours = 15 miles/hour.
Now that we have the rate (15 miles/hour), we can write the equation that relates the distance and the time: Distance (D) = Rate (R) * Time (T).
Plugging in the values, we get: D = 15T.
So, the equation that shows the relationship between the distance (D) and the time (T) is D = 15T.