Question

time (weeks) volume (cubic meters) 1 12.0 2 6.1 3 3.0 4 1.6 5 0.8 use the drop-down menus to complete the statement about the volume of a water storage tank over time, as shown in the table. the data in the table can best be described as because there is a constant additive rate of change constant multiplicative rate of change distinct turning point

Explanation:

Step1: Calculate the ratios of consecutive volumes

For \(n = 1\) to \(n = 2\): \(\frac{6.1}{12.0}\approx0.508\)
For \(n = 2\) to \(n = 3\): \(\frac{3.0}{6.1}\approx0.492\)
For \(n = 3\) to \(n = 4\): \(\frac{1.6}{3.0}\approx0.533\)
For \(n = 4\) to \(n = 5\): \(\frac{0.8}{1.6}=0.5\)
The ratios are approximately constant (around \(0.5\)).

Step2: Analyze the nature of the data

Since the ratio of consecutive \(y -\)values (volume) is approximately constant, the data has a constant multiplicative rate of change.

Answer:

The data in the table can best be described as an exponential function because there is a constant multiplicative rate of change.