Modeling with 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.

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

The half-life of the medicine in the patient’s bloodstream is hours.

Based on the model, what percent of the initial amount of medicine will remain in the patient’s bloodstream after 10 hours? Round to the nearest whole percent.%

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

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.

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

A note played on a guitar has a frequency of 440 waves per second. To the nearest centimeter, what is the wavelength of the note? centimeters

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 average adult can hear sounds with frequencies between 20 waves per second and 16,000 waves per second. What is the wavelength, in meters, of a sound wave with a frequency of 20 waves per second? meters