A charter boat travels at a maximum rate of 25 mph. The function d(x) = 25x represents the distance d(x),in miles, that the boat can travel in x hours. The charter boat travels a maximum distance of 75 miles from the shore.
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To find out how long the charter boat can travel from the shore, keeping in mind its maximum speed, we need to set up an equation using the given information.
The function d(x) = 25x represents the distance the boat can travel in x hours.
We know that the boat can travel a maximum distance of 75 miles from the shore. Therefore, we will set up an equation:
75 = 25x
To solve for x, we divide both sides of the equation by 25:
75/25 = x
3 = x
Therefore, the charter boat can travel a maximum distance of 75 miles from the shore in 3 hours.