The inverse variation xy = 20 relates the speed x in miles per hour to the time y in hours for a person to travel 20 miles. Dete

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The inverse variation xy = 20 relates the speed x in miles per hour to the time y in hours for a person to travel 20 miles. Dete

rmine a reasonable domain and range, and then graph the inverse variation. Use the graph to estimate the speed needed in order to travel 20 miles in 8 hours.

Mathematics

1 answer:

yan [13] · Answer 1 · 2023-08-07T01:01:09+03:00

The appropriate domain and the range are x > 0 and y > 0, respectively and the speed is 2.5 miles per hour in order to travel 20 miles in 8 hours.

<h3>How to determine the reasonable domain?</h3>

The function is given as:

xy = 20

The value of x and y cannot be negative and they cannot be 0.

This means that the domain and the range are x > 0 and y > 0, respectively

<h3>The graph of the function</h3>

See attachment for the graph of xy = 20

<h3>The estimate of the speed</h3>

We have:

Distance = 20 miles

Time = 8 hours

The speed is calculated as;