Find an exponential model for the following data set.

A) $y = 0.7 \times 52.09 ^ { t }$
B) $y = 52.09 \times 0.7 ^ { t }$
C) $y = 52.09 \times 1.43 ^ { t }$
D) $y = 1.43 \times 52.09 ^ { t }$

Question

Find an exponential model for the following data set.

A) $y = 0.7 \times 52.09 ^ { t }$ 
B) $y = 52.09 \times 0.7 ^ { t }$ 
C) $y = 52.09 \times 1.43 ^ { t }$ 
D) $y = 1.43 \times 52.09 ^ { t }$

Quizplus · Accepted Answer

In an exponential model in the form of $y=a \cdot b^t$, $a$ represents the initial value and $b$ represents the growth factor. Looking at the data set, we can see that the initial value is 52.09 and the growth factor is less than 1, which indicates decay. Option B matches both of these criteria, so it is the correct answer.

Find an Exponential Model for the Following Data Set y=0.7×52.09ty = 0.7 \times 52.09 ^ { t }y=0.7×52.09t

Find an Exponential Model for the Following Data Set $y = 0.7 \times 52.09 ^ { t }$