Question

using the rate of change to complete an exponential decay pattern
domain | range
0 | 32
1 | 24
2 | d
in order for the table to show exponential decay, what must the value of d be in the table?
d = \boxed{}

Explanation:

Step1: Find the common ratio

For exponential decay, the ratio between consecutive range values should be constant. Calculate the ratio of the second range value to the first: $\frac{24}{32} = \frac{3}{4}$.

Step2: Calculate d

Multiply the range value at domain 1 (24) by the common ratio ($\frac{3}{4}$) to find d: $24\times\frac{3}{4} = 18$.

Answer:

18