Concept explainers
Internet Access Using data from 2009 through 2015, the percent of households with Internet access can be modeled by the function
a. Find the formula for the inverse of the function f.
b. If the inverse is
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Chapter 4 Solutions
Student's Solutions Manual For College Algebra In Context Format: Paperback
- The function y=0.03x2+245.50,0x100 approximates the exhaust temperature y in degrees Fahrenheit, where x is the percent load for a diesel engine. (a) Find the inverse function. What does each variable represent in the inverse function? (b) Use a graphing utility to graph the inverse function. (c) The exhaust temperature of the engine must not exceed 500 degrees Fahrenheit. What is the percent load interval?arrow_forwardTarget heart rate The target heart rate f(x), in beats per minute, at which a person should train to get an effective workout is a function of the persons age x in years. If f(x)=0.6x+132, find the target heart rate for a 45-year-old college professor.arrow_forwardLinear? Determine whether the given function is linear. f(x)=(2+3x)2arrow_forward
- What is the composition of two functions, fg ?arrow_forwardMosteller Formula for Body Surface Area: Body surface area is an important piece of medical information because it is a factor in temperature regulation as well as some drug level determinations. The Mosteller formula gives one way of estimating body surface area B in square meters. The formula uses the weight w in kilograms and the height h in centimeters. The relation is B=hw60 In this exercise, we consider people who are 190 centimeters tall. a. Write a formula for B as a function of w. b. Make a graph of B versus w. includes weights up to 100 kilograms. c. Is the graph you made in part b concave up or concave down? d. In this part, we consider the effect of weight gain on men who are 190 centimeters tall. Would the weight gain have a greater effect on surface area for a lighter man or for a heavier man?arrow_forwardHourly Wage Your wage is $10.00 per hour plus $0.75 for each unit produced per hour. So, your hourly wage y in terms of the number of units produced x is y=10+0.75x. (a) Find the inverse function. What does each variable represent in the inverse function? (b) Determine the number of units produced when your hourly wage is $24.25.arrow_forward
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