Question

25 POINTS!!!

Relationship b has a greater rate than relationship a. The graph represents relationship a
Select each correct answer.

Y=0.6x
Y=1/4x
Y=2/3x
Y=3/4x

Answer 1

The rate of realtionship a would be 2/4 because when you do the point slope formula, you get the slope of 2/4 so 0.6 ends up being 6/10 which is greater than 1/2 (1/2=2/4). 2/3 is greater than 1/2 and 3/4 is greater than 1/2 so it should be all of them except 1/4. Just find at the slope and see what greater than that slope!

Answer 2

The correct answer is: Y= 2/3x. Hence the correct option is c.

To determine which equation has a greater rate, we can look at the coefficients of the x terms in each equation. The equation Y= 2/3 x has a coefficient of 2/3, indicating that for every increase of 1 unit in x, Y increases by 2/3 units. On the other hand, the equation Y= 1/4x has a coefficient of 1/4 , indicating a lower rate of increase.

Therefore, relationship b, represented by the equation Y= 2/3x, has a greater rate than relationship a, which is represented by the other equations provided. The steeper slope of the line in relationship b suggests a faster increase in the dependent variable Y relative to the independent variable x. Hence the correct option is c.