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

The correct option is 4.

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=(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=(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=(9)/(13)\approx 0.69<0.7`

In option 2,

`m=(13)/(19)\approx 0.68<0.7`

In option 3,

`m=(11)/(16)\approx 0.69<0.7`

In option 4,

`m=(8)/(11)\approx 0.72>0.7`

In option 5,

`m=(7)/(12)\approx 0.58<0.7`

The unit rate of
`y=(8)/(11)` is greater than the unit rate of given line, therefore the correct option is 4.