 1.10.1.10.1: A car rental agency charges $200 per week plus $0.15 per mile to re...
 1.10.1.10.2: A car rental agency charges $180 per week plus $0.25 per mile to re...
 1.10.1.10.3: One yardstick for measuring how steadily if slowly athletic perform...
 1.10.1.10.4: The bus fare in a city is $1.25. People who use the bus have the op...
 1.10.1.10.5: A discount pass for a bridge costs $21 per month. The toll for the ...
 1.10.1.10.6: A discount pass for a bridge costs $21 per month. The toll for the ...
 1.10.1.10.7: You are choosing between two plans at a discount warehouse. Plan A ...
 1.10.1.10.8: You are choosing between two plans at a discount warehouse. Plan A ...
 1.10.1.10.9: A football team plays in a large stadium. With a ticket price of $2...
 1.10.1.10.10: A baseball team plays in a large stadium. With a ticket price of $1...
 1.10.1.10.11: On a certain route, an airline carries 9000 passengers per month, e...
 1.10.1.10.12: On a certain route, an airline carries 7000 passengers per month, e...
 1.10.1.10.13: The annual yield per lemon tree is fairly constant at 320 pounds pe...
 1.10.1.10.14: The annual yield per orange tree is fairly constant at 270 pounds p...
 1.10.1.10.15: An open box is made from a square piece of cardboard 24 inches on a...
 1.10.1.10.16: An open box is made from a square piece of cardboard 30 inches on a...
 1.10.1.10.17: A rain gutter is made from sheets of aluminum that are 20 inches wi...
 1.10.1.10.18: A rain gutter is made from sheets of aluminum that are 20 inches wi...
 1.10.1.10.19: The sum of two numbers is 66. Express the product of the numbers, a...
 1.10.1.10.20: The sum of two numbers is 50. Express the product of the numbers, a...
 1.10.1.10.21: You have 800 feet of fencing to enclose a rectangular field. Expres...
 1.10.1.10.22: You have 600 feet of fencing to enclose a rectangular field. Expres...
 1.10.1.10.23: As in Exercise 21, you have 800 feet of fencing to enclose a rectan...
 1.10.1.10.24: As in Exercise 22, you have 600 feet of fencing to enclose a rectan...
 1.10.1.10.25: You have 1000 feet of fencing to enclose a rectangular playground a...
 1.10.1.10.26: You have 1000 feet of fencing to enclose a rectangular playground a...
 1.10.1.10.27: A new running track is to be constructed in the shape of a rectangl...
 1.10.1.10.28: Work Exercise 27 if the length of the track is increased to 880 yards
 1.10.1.10.29: A contractor is to build a warehouse whose rectangular floor will h...
 1.10.1.10.30: The area of a rectangular garden is 125 square feet. The garden is ...
 1.10.1.10.31: The figure shows an open box with a square base. The box is to have...
 1.10.1.10.32: The figure shows an open box with a square base and a partition dow...
 1.10.1.10.33: The figure shows a package whose front is a square. The length plus...
 1.10.1.10.34: Work Exercise 33 if the length plus girth of the package is 108 inches
 1.10.1.10.35: Your grandmother needs your help. She has $50,000 to invest. Part o...
 1.10.1.10.36: You inherit $18,750 with the stipulation that for the first year th...
 1.10.1.10.37: You invested $8000, part of it in a stock that paid 12% annual inte...
 1.10.1.10.38: You invested $12,000, part of it in a stock that paid 14% annual in...
 1.10.1.10.39: Let be a point on the graph of Express the distance, d, from P to t...
 1.10.1.10.40: Let be a point on the graph of Express the distance, d, from P to t...
 1.10.1.10.41: Let be a point on the graph of Express the distance, d, from P to a...
 1.10.1.10.42: Let be a point on the graph of Express the distance, d, from P to a...
 1.10.1.10.43: The figure shows a rectangle with two vertices on a semicircle of r...
 1.10.1.10.44: The figure shows a rectangle with two vertices on a semicircle of r...
 1.10.1.10.45: Two vertical poles of length 6 feet and 8 feet, respectively, stand...
 1.10.1.10.46: Towns A and B are located 6 miles and 3 miles, respectively, from a...
 1.10.1.10.47: In Exercises 47 48, express the area of each figure, A, as a functi...
 1.10.1.10.48: In Exercises 47 48, express the area of each figure, A, as a functi...
 1.10.1.10.49: In Exercises 49 50, express the volume of each figure, V, as a func...
 1.10.1.10.50: In Exercises 49 50, express the volume of each figure, V, as a func...
 1.10.1.10.51: Throughout this section, we started with familiar formulas and crea...
 1.10.1.10.52: Describe what should be displayed on the screen of a graphing utili...
 1.10.1.10.53: In Exercise 9(b) or Exercise 10(b), describe what important informa...
 1.10.1.10.54: In Exercise 13(b) or 14(b), describe what important information the...
 1.10.1.10.55: In Exercise 31 or 32, describe what important information the box m...
 1.10.1.10.56: In calculus, you will learn powerful tools that reveal how function...
 1.10.1.10.57: Use a graphing utility to graph the function that you obtained ZOOM...
 1.10.1.10.58: Use a graphing utility to graph the function that you obtained in E...
 1.10.1.10.59: Use a graphing utility to graph the volumeofthebox function, V, ...
 1.10.1.10.60: Use a graphing utility to graph the area function, A, that you obta...
 1.10.1.10.61: Use a graphing utility to graph the area function, A, that you obta...
 1.10.1.10.62: Use the maximum or minimum function feature of a graphing utility t...
 1.10.1.10.63: The function f(x) = 30x + 0.08 is a reasonable model for the monthl...
 1.10.1.10.64: For each $1 increase in the price of a $300 plane ticket, an airlin...
 1.10.1.10.65: I know the perimeter of a rectangle, so I also know its area.
 1.10.1.10.66: I encountered a number of problems where I had to solve an equation...
 1.10.1.10.67: You are on an island 2 miles from the nearest point P on a straight...
 1.10.1.10.68: A pool measuring 20 meters by 10 meters is surrounded by a path of ...
 1.10.1.10.69: The figure shows a Norman window that has the shape of a rectangle ...
 1.10.1.10.70: The figure shows water running into a container in the shape of a c...
 1.10.1.10.71: Exercises 71 73 will help you prepare for the material covered in t...
 1.10.1.10.72: Exercises 71 73 will help you prepare for the material covered in t...
 1.10.1.10.73: Exercises 71 73 will help you prepare for the material covered in t...
Solutions for Chapter 1.10: Modeling with Functions
Full solutions for Precalculus  4th Edition
ISBN: 9780321559845
Solutions for Chapter 1.10: Modeling with Functions
Get Full SolutionsPrecalculus was written by and is associated to the ISBN: 9780321559845. This textbook survival guide was created for the textbook: Precalculus, edition: 4. Chapter 1.10: Modeling with Functions includes 73 full stepbystep solutions. Since 73 problems in chapter 1.10: Modeling with Functions have been answered, more than 67311 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

Arrow
The notation PQ denoting the directed line segment with initial point P and terminal point Q.

artesian coordinate system
An association between the points in a plane and ordered pairs of real numbers; or an association between the points in threedimensional space and ordered triples of real numbers

Boundary
The set of points on the “edge” of a region

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Chord of a conic
A line segment with endpoints on the conic

Compound interest
Interest that becomes part of the investment

Constant function (on an interval)
ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

Control
The principle of experimental design that makes it possible to rule out other factors when making inferences about a particular explanatory variable

Dependent event
An event whose probability depends on another event already occurring

End behavior
The behavior of a graph of a function as.

Implied domain
The domain of a function’s algebraic expression.

Line of symmetry
A line over which a graph is the mirror image of itself

Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.

nset
A set of n objects.

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Quartic function
A degree 4 polynomial function.

Range of a function
The set of all output values corresponding to elements in the domain.