Question

A farmer recently sold a large plot of land. The sale decreased his total acreage by 6%. Let v be the original acreage. Find two equivalent expressions that will give the new acreage. Use the expressions to describe two ways to find the new acreage. Name two expressions that would give the new acreage. (A)0.06v

(B)6v
(C)v-6v
(D)0.94v-0.06v
(E)v-0.06v
(F)0.94v

Answer 1

`v - 0.06v` and
`0.94v`

Explanation:

Given

`Acreage = v`

`Decrement = 6\%`

Required

Determine the new acreage

Because a reduction occur, the new acreage can be calculated using:

`New = Acreage - Decrement * Avreage`

`New = v - 6\% * v`

`New = v - 0.06 * v`

`New = v - 0.06v` ------ (1)

Evaluate the expression

`New = 0.94v` ---- (2)