The maximum length of a certain type of fish is 63 centimeters. The difference between the maximum length and the length at age years is given by $D = 59.85 \times 0.83 ^ { t }$ centimeters. Write a for-
Mula that gives the length L , in centimeters, of the fish at age years.
A) $L = 63 + 59.85 \times 0.83 ^ { t }$
B) $L = 63 - 59.85 \times 0.83 ^ { t}$
C) $L = 63 \times 59.85 \times 0.83 ^ { t }$
D) $L = 59.85 \times 0.83 ^ { t } - 63$

Question

The maximum length of a certain type of fish is 63 centimeters. The difference between the maximum length and the length at age  years is given by $D = 59.85 \times 0.83 ^ { t }$ centimeters. Write a for-
Mula that gives the length L , in centimeters, of the fish at age  years. 
A) $L = 63 + 59.85 \times 0.83 ^ { t }$ 
B) $L = 63 - 59.85 \times 0.83 ^ { t}$ 
C) $L = 63 \times 59.85 \times 0.83 ^ { t }$ 
D) $L = 59.85 \times 0.83 ^ { t } - 63$

Quizplus · Accepted Answer

Since the difference between the maximum length and the length at age 11 years is given by $D = 59.85 \times 0.83 ^ {t}$, we need to subtract this difference from the maximum length to get the length at age 11 years. Therefore, the formula that gives the length $L$ of the fish at age 11 years is: 
$$L = 63 - 59.85 \times 0.83 ^ {t}$$ 
This matches answer choice B.

The Maximum Length of a Certain Type of Fish Is D=59.85×0.83tD = 59.85 \times 0.83 ^ { t }D=59.85×0.83t

The Maximum Length of a Certain Type of Fish Is $D = 59.85 \times 0.83 ^ { t }$