Question

Assume the data below is exponential Determine the growth/decay factor. Estimate your answer to 3 places after the decimal.

15
16
У
90
74
Х

Answer 1

37/45=0.822 this is my answer

Answer 2

9514 1404 393

Answer:

37/45 ≈ 0.822

Explanation:

The formula for an exponential relation is ...

y = a·b^x

This question is asking for the value of b. It can be found by substituting the given values of x and y, and taking the ratio of the resulting equations.

90 = a·b^15

74 = a·b^16

Dividing the second equation by the first, we have ...

74/90 = (a·b^16)/(a·b^15)

74/90 = b

The decay factor is 74/90 = 37/45 ≈ 0.822