Find an exponential model for the following data set.

A) $y = 36.08 \times 1.11 ^ { t }$
B) $y = 0.9 \times 36.08 ^ { 2 }$
C) $y = 36.08 \times 0.9 ^ { t }$
D) $y = 1.11 \times 36.08 ^ { t }$

Question

Find an exponential model for the following data set.

A) $y = 36.08 \times 1.11 ^ { t }$ 
B) $y = 0.9 \times 36.08 ^ { 2 }$ 
C) $y = 36.08 \times 0.9 ^ { t }$ 
D) $y = 1.11 \times 36.08 ^ { t }$

Quizplus · Accepted Answer

Exponential growth models are of the form y = ab^t, where b is greater than 1. Option A and D have b greater than 1, but 1.11 is greater than 1 which means it represents growth, not decay. Option B has a base of 36.08, which means it represents no growth since anything raised to the power of 0 is 1. Therefore, the best choice is C, which has a base of 0.9 and represents exponential decay.

Find an Exponential Model for the Following Data Set y=36.08×1.11ty = 36.08 \times 1.11 ^ { t }y=36.08×1.11t

Find an Exponential Model for the Following Data Set $y = 36.08 \times 1.11 ^ { t }$