Question

multiple choice 1 point deforestation has occurred in all regions of the united states. prior to 1620, about 1,023,000,000 acres (initial value) of the united states land area was forest. forest cover for the united states as a whole reached its lowest point in 1920. the forest service reported the minimum forestation as 721,000,000 acres (new value) of land area as forest in 1920. calculate the percent change, in acres, of forest cover between 1620 and 1920 using the formula below. % change formula \\(\frac{\text{new value - initial value}}{\text{initial value}} \times 100 = \\% \text{change}\\) hint: do the subtraction first, get an answer. then do the division, and then multiply by 10. -170% -29.5% -302%

Explanation:

Step1: Identify values

Initial Value ($IV$) = 1,023,000,000 acres (1620 forest cover)
New Value ($NV$) = 721,000,000 acres (1920 forest cover)

Step2: Apply % change formula

The formula for percent change is:
$$\text{\% Change} = \frac{NV - IV}{IV} \times 100$$

Substitute $NV = 721000000$ and $IV = 1023000000$:
$$\text{\% Change} = \frac{721000000 - 1023000000}{1023000000} \times 100$$

Step3: Calculate numerator

$721000000 - 1023000000 = -302000000$

Step4: Divide and multiply by 100

$$\text{\% Change} = \frac{-302000000}{1023000000} \times 100 \approx -29.5\%$$

Answer:

-29.5%