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.
25x = 75
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Find a reasonable domain and range for each function-
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
To find out how long the boat can travel 75 miles from the shore, we need to solve the equation d(x) = 75, where d(x) = 25x.
Let's substitute the value of d(x) and solve for x:
75 = 25x
Dividing both sides of the equation by 25:
75/25 = 25x/25
3 = x
Therefore, the boat can travel 75 miles from the shore within 3 hours.