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naeaamm2528
09.03.2020 •
Mathematics
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
What table could represent Relationship B?
Time (weeks)
2 5 6 9
Plant growth (in.)
1.2 3 3.6 5.4
Time (weeks)
2 5 6 9
Plant growth (in.)
1.6 4 4.8 7.2
Time (weeks)
3 4 6 9
Plant growth (in.)
1.5 2 3 4.5
Time (weeks)
2 5 6 9
Plant growth (in.)
1.4 3.5 4.2 6.3
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Ответ:
The second table could represent relationship B.
Step-by-step explanation:
Step 1:
The tables give a relationship between the growth of a plant and the number of weeks it took.
To determine the rate of each table, we determine the growth of the plant in a single week.
The growth rate in a week =
.
Step 2:
For the given graph, the points are (4, 3) and (8, 6).
The growth rate in a week =![\frac{Difference in height}{time taken} = \frac{6-3}{8-4}=\frac{3}{4} = 0.75.](/tpl/images/0538/6080/a3592.png)
So the growth rate for relationship A is 0.75.
Step 3:
Now we calculate the growth rates of the given tables.
Table 1's growth rate in a week =![\frac{Difference in height}{time taken} = \frac{3-1.2}{5-2}=\frac{1.8}{3} = 0.6.](/tpl/images/0538/6080/e6b53.png)
Table 2's growth rate in a week =![\frac{Difference in height}{time taken} = \frac{4-1.6}{5-2}=\frac{2.4}{3} = 0.8.](/tpl/images/0538/6080/46c26.png)
Table 3's growth rate in a week =![\frac{Difference in height}{time taken} = \frac{2-1.5}{4-3}=\frac{0.5}{1} =0.5.](/tpl/images/0538/6080/b77a8.png)
Table 4's growth rate in a week =![\frac{Difference in height}{time taken} = \frac{3.5-1.4}{5-2}=\frac{2.1}{3} = 0.7.](/tpl/images/0538/6080/0e19c.png)
Since relationship B has a greater rate than A, Table 2 is relationship B.
Ответ:
Step-by-step explanation:
I got 100%A. 4(x+3)=7x-6 (Option 1)