Question

The two graphs below compare the gallons of gasoline used and the total distance traveled for two different cars.

Car 1
A graph has gallons of gasoline used on the x-axis and miles traveled on the y-axis. A line goes through points (2, 50) and (4, 100).
Car 2
A graph has gallons of gasoline used on the x-axis and miles traveled on the y-axis. A line goes through points (2, 40) and (4, 80).

Which comparison of the slopes of the two lines is accurate?

Answer 1

Answer:

s₁ > s₂

Is accurate comparison

Step-by-step explanation:

If we have two different point for a straight line the slope of such line is given by:

P₁ = ( x₁ , y₁ )        P₂ = ( x₂ , y₂ )

The slope of the line is

s₁ = (y₂ - y₁ ) / ( x₂ - x₁)

Then for the pairs of points:

P₁ (2 , 50 )     and P₂ ( 4 , 100)

y₂  -  y₁   =  100 - 50    ⇒     y₂  -  y₁   = 50

and

( x₂ - x₁ )   ⇒  4 - 2  =  2

Then

s₁ =  50/2  

s₁  = 25

In the second case

Points

P₁ ( 2 , 40 )     P₂ ( 4 , 80 )

s₂ = (y₂ - y₁ ) / ( x₂ - x₁)

y₂  -  y₁   =  80 - 40  = 40

x₂ -  x₁  = 4 - 2  = 2

s₂  =  40/2

s₂ = 20

Then

s₁ > s₂

Is accurate comparison

Answer 2

B) The slope of Car 1’s graph is 5 greater than the slope of Car 2’s graph.

I just took the quiz on edge