Two sailboats are traveling along the same path away
from a dock, beginning from different locations at the
same time. John's boat begins 20 miles from the dock and
is 55 miles from the dock after 5 hours. The distance of
Roberta's boat from the dock is represented by the
function y= 6x + 10, where x represents time and y
represents the distance from the dock.
Which boat was farther from the dock at the beginning, and which traveled
more quickly?
O A. Roberta's boat was farther from the dock at the beginning, but
John's boat trzeled more quickly
B. John's boat was farther from the dock at the beginning, and it
traveled more quickly
C. Roberta's boat was farther from the dock at the beginning and it
traveled more quickly.
D. John's boat was farther from the dock at the beginning, but
Roberta's boat traveled more quickly.

The boat was farther from the dock at the beginning, and which traveled more quickly is option is B John's boat was farther from the dock at the beginning and it traveled more quickly

What is distance?

Distance is a numerical measurement of how far apart objects or points

What is Speed?

The speed of an object is the magnitude of the rate of change of its position with time or the magnitude of the change of its position per unit of time

At beginning John's boat was 20 miles from dock

After 5 hours its was 55 miles form the dock

Speed of the boat = Distance / Time

Speed = [tex]\frac{55-20}{5}[/tex]= 7 miles per hour

Robert boat is represented by the function

y=6x+10

at starting x=0

y = 10 miles away from the dock

After 5 hours x=5

y = 6×5+10

y=40 miles away from the dock

Speed of the Robert's boat = [tex]\frac{40-10}{5}[/tex]

Speed = 6 miles per hour

Hence, The boat was farther from the dock at the beginning, and which traveled more quickly is option is B John's boat was farther from the dock at the beginning and it traveled more quickly

Learn more about distance and speed here

https://brainly.com/question/12759408

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