To determine the initial amount of Latisha's project scope, we need to consider the 25% increase in the project. This means that the final amount of 1000 units reflects an increase to the original project scope.
Let [tex]\( x \)[/tex] be the initial amount of the project scope. The final amount, which includes the increase, can be represented as:
[tex]\[ x + 0.25x \][/tex]
We know that the final scope is 1000 units:
[tex]\[ x + 0.25x = 1000 \][/tex]
Combine the terms involving [tex]\( x \)[/tex]:
[tex]\[ 1.25x = 1000 \][/tex]
To find [tex]\( x \)[/tex], divide both sides of the equation by 1.25:
[tex]\[ x = \frac{1000}{1.25} \][/tex]
When you perform the division:
[tex]\[ x = 800 \][/tex]
Thus, the initial amount of the project scope was 800 units.
Therefore, the correct answer is:
C. 800 units
