Question

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

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

100
165
395
440

Answer 1

The answer is (B) 165

Explanation:

Answer 2

Equation of the table is given by
y - 210 = (280 - 210)/(4 - 3) (x - 3)
y - 210 = 70(x - 3)
y - 210 = 70x - 210
y = 70x

When x = 11, y = 70(11) = 770

Equation of the graph is given by
y = 110/2 x = 55x

When x = 11, y = 55(11) = 605

Therefore the value of y in the table is grater than the value of y in the graph by 770 - 605 = 165