Analyzing Compositions of Functions Answers

The graph shows the percent, y, of an initial dose of medicine remaining in a patient’s bloodstream after x hours. function best models the data in the graph.

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How many times longer is the wavelength of a sound wave with a frequency of 20 waves per second than the wavelength of a sound wave with a frequency of 16,000 waves per second?

An exponential function is an appropriate model because, for evenly spaced x-values, the of consecutive y-values is constant.

Which type of function best models the data in the table?

Why is a linear function not the best model for the data?For evenly spaced x-values, the of consecutive y-values is not constant.

Based on the data in the table, which function models the frequency, y, in waves per second, of sound waves with a wavelength of x meters?

What does the constant of variation of 340 represent in this situation?

Approximately how long will it take for the amount of medicine in the patient’s bloodstream to decrease to 1% of its initial amount?