Question

Jackson is flying at a constant rate of 500 mph from New York, New York, to Austin, Texas, which is a distance of 1,750 miles. If the distance Jackson has traveled in miles is a function of time in hours he has been flying, determine an appropriate domain and range for this problem situation.

Answer 1

Sent a picture of the solution to the problem (s).

Answer 2

The domain of the function is $[0,3.5]$ and the range of the function is $[0,1750]$.

Speed $= 500$ mph

Distance $= 1750$ miles

Distance $=$ Speed $\times$ Time

The distance Jackson has traveled in miles is a function of time in hours he has been flying.

$f(t)=500t.$

For maximum distance, $f(t)=1750$ miles.

$1750=500t.$

$t=\frac{1750}{500}$

$t=3.5$ hours

So, domain $= [0,3.5]$

Range $= [0,1750]$

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