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Choose the equations which have a greater rate of change than the graph.

y = 1/4x

y = 1/3x

y = 3/10x

y = 2/5x

Choose the equations which have a greater rate of change than the graph. y = 1/4x-example-1

2 Answers

4 votes

Answer:

y = 1/3x & y= 2/5x

Step-by-step explanation:

I know because I just did the usatestprep assignment and I got it correct .

User Markus Pscheidt
by
9.1k points
3 votes

Option C:
y=(3)/(10) x is the equation that have a greater rate of change.

Step-by-step explanation:

From the graph the coordinates are (0,0), (20,6), (40,12), (60,18) and (100,30)

We need to determine the rate of change.

The rate of change can be determined using the formula,


m=(y_2-y_1)/(x_2-x_1)

Substituting the any two coordinates in the formula, we get, the slope of the equation.

Let us substitute the coordinates (20,6) and (100,30)

Thus, we have,


m=(30-6)/(100-20)

Simplifying, we get,


m=(24)/(80)

Dividing, we get,


m=(3)/(10)

Also, the y - intercept of the equation is
b=0

The equation of the line becomes
y=(3)/(10) x

Thus, the equation that has a greater rate of change is
y=(3)/(10) x

Hence, Option C is the correct answer.

User Ismar Slomic
by
7.9k points

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