Question

Tom buys a boat from a friend, and will pay his friend the same amount of money each year until the boat is paid for. The following graph gibes the amount of money, in dollars, Tom owes his friend, as a function of the amount of time, in years.

Answer 1

The graph of amount Tom owes his friend after a given time, t, is a straight line graph with a negative slope

Please find attached the required example of a possible graph that shows the amount Tom owes his friend

Reason:

Let A represent the amount of money Tom buys the boat with, let x

represent the amount of equal payment made and y represents the

amount Tom owes the friend after a given time, t, we have;

y = A - x·t

Therefore, the slope of the graph formed is -x, the y-intercept of the graph

is A, from which the graph that gives the amount of money, in dollars, Tom

owes his friend, as a function of time, in years can be presented as follows,

using example values;

A = $25,000 (Amount the Tom agrees to buy the boat)

x = $5,000 (Amount Tom pays each year for the boat)

By plugging in the above example values, the attached graph can be drawn using MS Excel

Learn more about plotting of straight line graphs here:

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