Question

When a ferry boat is on open water, it travels at a constant speed. A ferry boat traveled 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.

Answer 1

Answer:

The equation is: $y=0.4x$

The relationship between  the time in minutes, t, and the distance traveled in miles, d is a straight line, as shown in attached graph.

Step-by-step explanation:

As boat travels at constant speed.

So, if ferry boat travels 4 miles in 10 minutes. It means it would complete 24 miles in one hour.

And in 1 minute, 0.4 miles will be completed.

So, the equation becomes

$y=0.4x$

As the slope intercept form is $y=mx+c$

So, $m=0.4$ is the slope

The relationship between  the time in minutes, t, and the distance traveled in miles, d is a straight line i.e. linear.

The graph is also attached which indicates that relationship between  the time in minutes, t, and the distance traveled in miles, d is a straight line i.e. linear.

Keywords: speed, time, graph

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