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 100 and 5 comma 125 and 6 comma 150 and 7 comma 175. 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 300 in increments of 60 for each grid line. A line passing through the ordered pairs 2 comma 60 and 4 comma 120 and 6 comma 180 and 8 comma 240 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

So to answer this we have to look at the graph, on the right.

Just imagine that your stretching the graph to the right so that it shows the number 12. Now we can plot our point, right? Nope.

The graph isn't high enough. You have to stretch it up more, so that it shows....
What number will it show?

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

Hope the helps! :)