Lesson 2.6: Modeling Using Function Notation Answers

An object traveling 40 meters in one direction has a velocity defined by the function , where t is the time, in seconds. The momentum of the object can be determined by the function p(v) = mv, where m is the mass of the object and v is the velocity of the object.Which function can be used to determine the momentum the object has if it travels 40 meters in t seconds?

A mattress store is having a 50% off sale. The store charges a 4.5% sales tax. A function for the sale price is f(p) = 0.5p, where p is the original price. The total price for a given sale is modeled by the function g(s) = 1.045s. Which is the composition of functions that represents the total price for a given sale as a function of the original price, p?

In a city, a certain virus spreads from an initial infected individual in a circular pattern. The radius of the circle in kilometers can be modeled by the function , where d is days. The area of a circle is represented by A = πr2. Which function expresses the area of the virus spread as a function of d, the number of days?

At the time an antibiotic is applied to a population of bacteria, the population is growing as defined by the function p(x) = 300(1.05)x, where x represents time, in hours. At the same time, the antibiotic reduces the population by 30% each hour. The effect of the antibiotic can be represented by the function a(p) = p(0.7)x.Which function represents a(p(x))?

Which function shows the total manufacturing cost of skateboards as a function of the number of hours?

The function [image 1] can be used to find the number of degrees a container of water at a temperature of x degrees Celsius is away from the boiling point of water. The function [image 2] can be used to convert degrees Celsius to degrees Fahrenheit.Which shows the composition f(d(x))?

Which is the composite function for the total area of the oil spill as a function of hours, h?