When a ferry boat is in open water travels at a constant speed ferry boat travels 4 miles in 10 minutes complete the equation to show the relationship between the time in minutes t and the distance traveled in miles d ? = ? ?

Mathematics · Middle School · Wed Jan 13 2021

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To find the relationship between the time in minutes (t) and the distance traveled in miles (d) for the ferry boat, we can use the formula for speed, which relates distance, time, and speed. The formula is:

Speed = Distance / Time

From the information provided, we know the ferry boat travels 4 miles in 10 minutes at constant speed. To find the speed in miles per minute, we can use the formula:

Speed = 4 miles / 10 minutes = 0.4 miles/minute

Now, if we want to find an equation that gives us the distance (d) based on the time (t) in minutes, we need to express distance as a function of time using the constant speed. Since we know the speed, we can write it as:

d = Speed * t

Substituting the speed we calculated above (0.4 miles/minute), the equation becomes:

d = 0.4 * t

So, completing the equation with distance and time, we have:

d (in miles) = 0.4 * t (in minutes)

This equation shows that for every minute the ferry boat travels, the distance increases by 0.4 miles.