Question

Kendra found this relationship between the quantities in the table.

1
3
4
2.
150
5
375
y
75
225
300
Multiply x by 7.5 to get y
Which error did Kendra make?
Kendra should have added 75 to the x-values to get the y-values
Kendra should have added 7.5 to the x-values to get the y-values
Kendra should have multiplied the x-values by 75 to get the y-values
Kendra should have multiplied the x-values by 25 to get the y-values
HELP IM TIMED

Answer 1

Kendra should have multiplied the x-values by 75 to get the y-values

Explanation:

Given

Table

X|| Y

1 || 75

2 || 150

3 || 225

4 || 300

5 || 375

Given that Kendra multiply x by 7.5 to get y

The relationship of x and y can be calculated as thus;

y = rx

Where y and x are the values at the y and x column respectively and r is the constant of proportionality

When y = 75, x = 1.

Plug in these values in the above formula

y = rx becomes

75 = r * 1

75 = r

r = 75

When y = 150, x = 2

150 = r * 2

Multiply both sides by ½

150 * ½ = r * 2 * ½

75 = r

r = 75

When y = 225, x = 3

225 = r * 3

Multiply both sides by ⅓

225 * ⅓ = r * 3 * ⅓

75 = r

r = 75

Notice that r remains 75 and the difference between y values is 75

If you apply these formula on when y = 300 or 375 and when x = 4 or 5, the constant of proportionality will remain The value of 75.

Hence, Kendra mistake is that; Kendra should have multiplied the x-values by 75 to get the y-values