Question

The table and the graph below each show a different relationship between the same two variables, x and y:

A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 4 comma 120 and 5 comma 150 and 6 comma 180 and 7 comma 210. On the right of this table is a graph. The x-axis values are from 0 to 10 in increments of 2 for each grid line. The y-axis values on the graph are from 0 to 550 in increments of 110 for each grid line. A line passing through the ordered pairs 2 comma 110 and 4 comma 220 and 6 comma 330 and 8 comma 440 is drawn.

How much more would the value of y be on the graph than its value in the table when x = 12?

Answer 1

The number that would be added more to the value of y on the graph than its value in the table when x = 12 is 20.

How to compute the value?

Since the y points are incrementing by 60, it will be

300+60 = 360

So we have to stretch the graph up to make it say 360.

Now we can plot our point at (12, 360)

Now, since it's asking how much more would it be on the graph than the table, we have to look at the table, and find how much y would equal if x=12.

So first let's find how much x is multiplied by to get y.

We can find this by dividing y/x

100/4=25

So x·25 = y

Since x=12.

12·25=300

So y one the table equals 300

And y one the graph equals 360

Subtract to find the answer

360-300 = 60

The answer is 60

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