Question

Which equation has a unit rate greater than the unit rate of the relationship shown in the graph?

Answer 1

the graph shows a slope 7/10, which is 0.7. Only 8/11 (=0.72727) is greater than 0.7, so the answer is y=(8/11)x

Answer 2

Answer:

The correct option is 4.

Step-by-step explanation:

The units rate is also knows as slope of the line.

If a line passing though two points then the slope of the lien is

$m=\frac{y_2-y_1}{x_2-x_1}$

From the given graph it is clear that the line passing through the points (0,0) and (10,7). The slope or unit rate of the given line is

$m=\frac{7-0}{10-0}=0.7$

The unit rate of the given line is 0.7.

If a equation is defined as

$y=mx+b$                  .... (1)

then m is the unit rate and b is y-intercept.

By comparing the given options and equation (1),we get

In option 1,

$m=\frac{9}{13}\approx 0.69<0.7$

In option 2,

$m=\frac{13}{19}\approx 0.68<0.7$

In option 3,

$m=\frac{11}{16}\approx 0.69<0.7$

In option 4,

$m=\frac{8}{11}\approx 0.72>0.7$

In option 5,

$m=\frac{7}{12}\approx 0.58<0.7$

The unit rate of $y=\frac{8}{11}$ is greater than the unit rate of given line, therefore the correct option is 4.