Question

Jay rides in a boat from Monroe County to

Collier County. The graph of the function
d(t) = 30lt 1.51 shows the distance of the
boat in miles from the county line at t hours.
Assume the graph shows Jay's entire trip.
A. How far does Jay travel to visit his friend?
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Answer 1

The total distance traveled, which is 1485 miles.

Jay travels from Monroe County to Collier County in a boat, and the distance he travels can be represented by the function d(t) = 30t - 1.5.

To find out how far Jay travels to visit his friend, we need to find the total distance covered by the boat.

This can be done by finding the area under the graph of the function.

To find the area under the graph, we need to find the integral of the function d(t) = 30t - 1.5. Integrating this function gives us D(t) =
`15t^2` - 1.5t.

To find the total distance traveled by Jay, we need to evaluate D(t) at the end points of the trip, which are the values of t at the county lines.

Let's assume Jay's trip starts at t = 0 and ends at t = 10.

Plugging in these values into the function gives us D(10) =
`15(10)^2`- 1.5(10) = 1500 - 15 = 1485 miles.

The probable question may be:

Jay rides in a boat from Monroe County to Collier County. The graph of the function d(t) = 30t - 1.5. shows the distance of the boat in miles from the county line at t hours. Assume the graph shows Jay's entire trip.

A. How far does Jay travel to visit his friend?