SOLUTION: Joshua is driving to the store the average distance D in miles he travels over T minutes is given by the function D(t)=0.5t Graph the function. Use the graph to estimate how many

Question 1124291: Joshua is driving to the store the average distance D in miles he travels over T minutes is given by the function D(t)=0.5t Graph the function. Use the graph to estimate how many miles he drove after 5.5 minutes
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

You wrote: "Joshua is driving to the store the average distance D in miles he travels over T minutes is given by the function D(t)=0.5t"

Wrong. Either:

Joshua is driving to the store the average distance D in miles he travels over t minutes is given by the function D(t)=0.5t

or

Joshua is driving to the store the average distance D in miles he travels over T minutes is given by the function D(T)=0.5T

T and t are two vastly different things and cannot EVER be used interchangeably in a mathematical expression.

Choose several values for t (or T depending on which one you finally decide to use), and then do the arithmetic to calculate the corresponding value of D(t). Each pair of numbers will be an ordered pair, (t,D(t)). Plot the points and draw a smooth curve (a straight line in this case) through the points.

Make an estimate of the distance at 5.5 minutes.

Check your answer:

Write

in PENCIL. Erase the t everywhere it appears. Do the indicated arithmetic. Compare the result to your estimate from the graph.

John

My calculator said it, I believe it, that settles it

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