Question

a website charges the same shipping fee on every order. the table shows the relationship between the cost of the items on the website, x, and the total cost including shipping, y.

Answer 1

8

Explanation:

Let the equation of the function represented by the table is,

y - y' = m(x - x')

Where m = slope of the line

(x', y') is a point lying on the line.

Since, slope of a line passing through
`(x_1,y_1)` and
`(x_2,y_2)` is,

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

Therefore, slope of a line passing through (18, 26) and (35, 43) is,

m =
`(43-26)/(35-18)`

= 1

Therefore, equation of the line passing through (18, 26) and slope 1 will be,

y - 26 = 1(x - 18)

y = x - 18 + 26

y = x + 8

Therefore, missing term of the equation is 8.