The amount of arable land in the US in the year 2000 was 20% of total land area. Currently, the amount of arable land in the US is 17.5% of our total land area. Compute the percent change in arable land area in the US over this time period.

Respuesta :

The percent change in arable land area in the US over this time period is 12.5%

Percentage Change

From the question, we are to determine the percent change in arable land area over the given time

Let the total land area be x

From the given information,

In the year 2000, the amount of arable was 20% of total land area

That is,

Amount of arable land = 20% of x

Amount of arable land = 0.2 × x

Amount of arable land = 0.2x

Currently,

The amount of arable land is 17.5% of total land area

Amount of arable land = 17.5% of x

Amount of arable land = 0.175 × x

Amount of arable land = 0.175x

Thus,

Percent change = (0.2x - 0.175x)/0.2x × 100%

Percent change = 0.025x/0.2x × 100%

Percent change = 0.125 × 100%

Percent change = 12.5%

Hence, the percent change in arable land area in the US over this time period is 12.5%

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