Option C: [tex]y=\frac{3}{10} x[/tex] is the equation that have a greater rate of change.
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,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
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,
[tex]m=\frac{30-6}{100-20}[/tex]
Simplifying, we get,
[tex]m=\frac{24}{80}[/tex]
Dividing, we get,
[tex]m=\frac{3}{10}[/tex]
Also, the y - intercept of the equation is [tex]b=0[/tex]
The equation of the line becomes [tex]y=\frac{3}{10} x[/tex]
Thus, the equation that has a greater rate of change is [tex]y=\frac{3}{10} x[/tex]
Hence, Option C is the correct answer.
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 .
