angelaOR
06.05.2020 •
Mathematics
Yosef found this relationship between the quantities in the table.
I x
| 7
1
8
2
160
3
240
4
320
5
400
|
|
|
|
|
Multiply x by 8 to get y.
Which error did Yosef make?
Yosef should have added 80 to the x-values to get the y-values.
Yosef should have added 8 to the x-values to get the y-values.
Yosef should have multiplied the x-values by 40 to get the y-values.
Yosef should have multiplied the x-values by 80 to get the y-values.
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Ответ:
Step-by-step explanation:
Check attachment for better understanding of the data given
Since the given data is a linear data,
Then we can use equation of a line to find the relationship between x and y
Let pick any tel point from the given data
P1 = (x1, y1) = (1, 80)
P2 = (x2, y2) = (2, 160)
Then, equation of alone given two points can be determine using
∆y/∆x = y-y1 / x-x1
y2 - y1 / x2 - x1 = y-y1 / x-x1
160 - 80 / 2 - 1 = y - 80 / x - 1
80 / 1 = y - 80 / x - 1
Cross multiply
80(x - 1) = 1(y - 80)
80x - 80 = y - 80
Add 80 to both sides
80x - 80 + 80 = y - 80 + 80
80x = y
Then,
y = 80x
Then, the mistake useful made is multiplying x by 8 instead of multiply it by 80
So, the correct option is
D. Yosef should have multiplied the x-values by 80 to get the y-values.
Ответ:
hundreds and one period hope I helped