Question

The table shows the cost of the buying x tickets to a school play.

Answer 1

Option D

Explanation:

Let the equation of the line passing through the points given in the table is,

y = mx + b

Here, m = slope of the line

b = y-intercept of the line

Slope of a line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)`,

m =
`(y_2-y_1)/(x_2-x_1)`

Therefore, slope of the line passing through (2, 8.5) and (5, 21.25) will be,

m =
`(21.25-8.5)/(5-2)` = 4.25

Equation of the line will be,

y = 4.25x + b

Since, this line passes through another points (10, 42.50),

Substituting the coordinates in the equation,

42.50 = 4.25(10) + b

42.50 = 42.50 + b

b = 0

y-intercept of the line is 0.

Option D is the answer.