Question

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.

Answer 1

Answer:

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.

Answer 2

y = 80x is the proportional relationship equatin, thus: D. Yosef should have multiplied x-values by 80 to get the y-values.

What is the Equation of a Proportional Relationship?

The equation of a proportional relationship between two variables x and y, where m is the unit rate or slope, is expressed as: y = mx.

Find the unit rate or slope of the relationship represented in the table using, (1, 80):

m = y/x = 80/1

m = 80.

Therefore, the equation for the proportional relationship would be, y = 80x, thus, the error was: Yosef should have multiplied x-values by 80 to get the y-values.

Learn more about proportional relationship on:

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