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 4,80 and 5,100 and 6,120 and 7,140. 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 350 in increments of 70 for each grid line. A line passing through the ordered pairs 2, 70 and 4, 140 and 6, 210 and 8, 280 is drawn.
How much more would the value of y be on the graph than its value in the table when x = 12? (1 point)

a
20

b
90

c
150

d
180

Answer 1

The difference between value of y at x=11 is 385, the correct option is third.

Step-by-step explanation: The equation of a line which passing through two points is given below,

The two points from the table are (3,240) and (4,320), the equation is, y-240320-240 (x-3)

y-240-320-240 (x-3) =

y-24080(x-3)

y= 80-240+240)

y = 80.

Put x=11 y = 80 x 11 = 880

Therefore according to the table the value of y is 880 at x=11. The two points from the table are (2,90) and (4,180), the equation is,

9-90-180-90 4-2 (x-2)

y-9045(x-2)

y= 45x-90+90

y=45x

Put x=11, y= 45 x 11 495

Therefore according to the table the value of y is 495 at x=11. The difference between the values of y at x=11 is,

D 880-495 = 385 Therefore third option is correct.