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omeli [17]
3 years ago
12

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

Mathematics
2 answers:
shusha [124]3 years ago
7 0
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
Stells [14]3 years ago
5 0

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

In option 2,

m=\frac{13}{19}\approx 0.68

In option 3,

m=\frac{11}{16}\approx 0.69

In option 4,

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

In option 5,

m=\frac{7}{12}\approx 0.58

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

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