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 3,240 and 4,320 and 5,400 and 6,480. 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 450 in increments of 90 for each grid line. A line passing through the ordered pairs 2, 90 and 4, 180 and 6, 270 and 8, 360 is drawn.

How much more would the value of y be in the table than its value on the graph when x = 11?

110
150
385
450

Answer 1

385

Explanation:

I took the test

Answer 2

The correct answer is 385

Step-by-step explanation

The table and the graph are two different linear functions

from table

The difference between two y values in table with increment of 1 in
`x` value is 80.

`y = 80* x`

From graph,

The difference between two
`y` values in graph is 90 for increments of two.

For increments of one the difference will be
`(90)/(2)=45`. So the function is,

`y = 45x`

When
`x = 11`

The difference between the y values of two function is,

`80* 11-45* 11=880-495=385`

The answer is 385.