Question

HELPP

Dorrian graphed the distance, y, traveled by 2 bikes in x seconds.


If the two bikes are racing a distance of 100 feet, which bike will win the race?


A.Bike 2 will win because the slope of the line for Bike 2 5/4, which is greater than the slope of the line for Bike 1.


B.Bike 2 will win because the slope of the line for Bike 2 is 4/5, which is greater than the slope of the line for Bike 1.


C.Bike 1 will win because the slope of the line for Bike 1 is 2/3, which is greater than the slope of the line for Bike 2.


D.Bike 1 will win because the slope of the line for Bike 1 is 3/2, which is greater than the slope of the line for Bike 2.

Answer 1

D

Explanation:

Answer 2

Explanation:

Alright, lets get started.

Lets find slope for both bikes one by one

For bike 1 :

There are two points on the graph of Bike 1, these two points are (2,3) and (4,6)

So the slope for bike 1 is :
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

So the slope for bike 1 is :
`(6-3)/(4-2)`

So the slope for bike 1 is :
`(3)/(2)`

For bike 2 :

There are two points on the graph of Bike 2, these two points are (4,5) and (8,10)

So the slope for bike 2 is :
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

So the slope for bike 2 is :
`(10-5)/(8-4)=(5)/(4)`

Hence Bike 1 will win the race as slope of line bike1 is greater than slope of line bike 2. So, answer is option D