Answer:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Equations with higher unit rate
First, calculate the unit rate of the graph
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1.y_1) = (0,0)[/tex]
[tex](x_2.y_2) = (7,15)[/tex]
So:
[tex]m = \frac{15 - 0}{7 - 0}[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
For the given options.
The unit rate is the coefficient of x
So: [tex]y = \frac{19}{8}x[/tex]
Going by the above definition of unit rate.
[tex]m = \frac{19}{8}[/tex]
[tex]m = 2.375[/tex]
[tex]y = \frac{27}{13}x[/tex]
[tex]m = \frac{27}{13}[/tex]
[tex]m = 2.077[/tex]
[tex]y = \frac{21}{9}x[/tex]
[tex]m = \frac{21}{9}[/tex]
[tex]m = 2.333[/tex]
[tex]y= \frac{11}{5}x[/tex]
[tex]m= \frac{11}{5}[/tex]
[tex]m= 2.20[/tex]
[tex]y = \frac{15}{7}x[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
[tex]y = \frac{31}{15}x[/tex]
[tex]m = \frac{31}{15}[/tex]
[tex]y = 2.067[/tex]
[tex]y=\frac{13}{6}x[/tex]
[tex]m=\frac{13}{6}[/tex]
[tex]m=2.167[/tex]
The unit rates grater than the graph's from small to large are:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
[tex]m=\frac{13}{6}[/tex] [tex]m= \frac{11}{5}[/tex] [tex]m = \frac{21}{9}[/tex] [tex]m = \frac{19}{8}[/tex]