Question

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

What is the speed of the motorboat?

A) 225 miles per hour
B) 25 miles per hour
C) 75 miles per hour
D) 50 miles per hour

Answer 1

D because the total distance traveled is 225-25=200 and that happened in 4 hrs 200/4=50/hr

Answer 2

Answer:

Option D.,50 miles per hour

Step-by-step explanation:

The graph shows the distance covered by motor boat at  = y, ( in miles )

The certain amount of time on = x ( in hours )

The slope of the given line will represent the speed of the motorboat.

The given line passes through two points ( 0, 25 ) and ( 4, 225 )

Therefore, slope of the line = $\frac{y-y'}{x-x'}$

                                              =  $\frac{225-25}{4-0}$

                                              =   $\frac{200}{4}$

                                              = 50

The speed of the motorboat is 50 miles per hour.