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The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:

A graph titled Distance Vs Time is shown, with Time in hours labeled on x axis and Distance from Island in miles labeled on y axis. The scale on the x axis shows the numbers 1, 2, 3, 4, 5, 6, 7, and the scale on the y axis shows the numbers 0, 22, 44, 66, 88, 110, 132, 154, 176, 198. The graph shows a straight line joining the ordered pairs 0, 22, and 1, 66, and 2, 110, and 3, 154, and 4, 198.

What is the speed of the motorboat?

198 miles per hour
22 miles per hour
44 miles per hour
66 miles per hour

Answer :

Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.

More can be learned about linear function concepts at https://brainly.com/question/24808124

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