The number of oranges harvested from Jake's yard decreased by 5% from last year to this year. Jake used the following expression to find the number of oranges harvested this year, P, where C is the number of oranges Jake harvested last year.

Question

c - 0.05c = p

Select the correct interpretation for the given equation.
A.
P is 5% of the amount harvested by Jake this year.
B.
P is 95% of the amount harvested by Jake this year.
C.
P is 95% of the amount harvested by Jake last year.
D.
P is 5% of the amount harvested by Jake last year.

Answer 1

The equation given is \( c - 0.05c = P \).

This can be simplified to:

\[ P = c(1 - 0.05) = c \times 0.95 \]

This means that the number of oranges harvested this year, \( P \), is 95% of the amount harvested by Jake last year, \( c \).

Therefore, the correct interpretation is:

C. P is 95% of the amount harvested by Jake last year.