(A) Explanation The function is, f ( x ) = − 0.0117 x 2 + 0.32 x + 17.9 . Substitute x = 5 in f ( x ) = − 0.0117 x 2 + 0.32 x + 17.9 , f ( 5 ) = − 0.0117 × 5 2 + 0.32 × 5 + 17.9 = − 0.2925 + 1.6 + 17.9 = 19.2075 ≈ 19.2 Thus, the value of f ( x ) = − 0.0117 x 2 + 0.32 x + 17.9 at x = 5 is 19.2. Substitute x = 10 in f ( x ) = − 0.0117 x 2 + 0.32 x + 17.9 , f ( 10 ) = − 0.0117 × 10 2 + 0.32 × 10 + 17.9 = − 1.17 + 3.2 + 17.9 = 19.93 ≈ 19.9 Thus, the value of f ( x ) = − 0.0117 x 2 + 0.32 x + 17.9 at x = 10 is 19.9. Substitute x = 15 in f ( x ) = − 0.0117 x 2 + 0.32 x + 17.9 , f ( 15 ) = − 0.0117 × 15 2 + 0.32 × 15 + 17.9 = − 2.6325 + 4.8 + 17.9 = 20.0675 ≈ 20 Thus, the value of f ( x ) = − 0.0117 x 2 + 0.32 x + 17.9 at x = 15 is 20. Substitute x = 20 in f ( x ) = − 0.0117 x 2 + 0.32 x + 17.9 , f ( 20 ) = − 0.0117 × 20 2 + 0.32 × 20 + 17.9 = − 4.68 + 6.4 + 17 (B) To determine To sketch: The graph of f ( x ) = − 0.0117 x 2 + 0.32 x + 17.9 and the market share in the same coordinate system . (C) To determine To estimate: TheFord’s market share in 2025 and in 2028. (D) To determine To describe: The Ford’s market share from 1985 to 2015.

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

See similar textbooks

Videos

Question

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 1.3, Problem 80E

(A)

To determine

To complete: The given table:

x
Market

Share
f(x)
5 18.8
10 20.0
15 20.7
20 20.2
25 17.4
30 16.4
35 15.3

(B)

To determine

To sketch: The graph of f(x)=−0.0117x2+0.32x+17.9 and the market share in the same coordinate system.

(C)

To determine

To estimate: TheFord’s market share in 2025 and in 2028.

(D)

To determine

To describe: The Ford’s market share from 1985 to 2015.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 1.3, Problem 79E

Chapter 1.3, Problem 81E

Chapter 1 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

Ch. 1.1 - Matched Problem 1 Sketch the graph of each...Ch. 1.1 - Matched Problem 2 Determine which of the following...Ch. 1.1 - Matched Problem 3 Find the domain of the function...Ch. 1.1 - Matched Problem 4 Use the functions in Example 4...Ch. 1.1 - Matched Problem 5 Find the domains of functions F,...Ch. 1.1 - Matched Problem 6 Repeat Example 6 for f(x) = x2 ...Ch. 1.1 - Matched Problem 7 The financial department in...Ch. 1.1 - To graph the equation y = x3 + 3x, we use...Ch. 1.1 - Prob. 2ED Ch. 1.1 - In Problems 18, use point-by-point plotting to...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

x	Market Share	f(x)
5	18.8
10	20.0
15	20.7
20	20.2
25	17.4
30	16.4
35	15.3

The given table: x Market Share f(x) 5 18.8 10 20.0 15 20.7 20 20.2 25 17.4 30 16.4 35 15.3

Solution Summary: The author explains the function of x Market Share f(x) 5 18.8 10 20.0 15 20.7 20 20.2 25 17.4

Videos

To complete: The given table: x Market Sharef(x)518.8 1020.0 1520.7 2020.2 2517.4 3016.4 3515.3

To sketch: The graph of f(x)=−0.0117x2+0.32x+17.9 and the market share in the same coordinate system.

To estimate: TheFord’s market share in 2025 and in 2028.

To describe: The Ford’s market share from 1985 to 2015.

Want to see the full answer?

Chapter 1 Solutions

To complete: The given table:

x
Market

Share
f(x)
5 18.8
10 20.0
15 20.7
20 20.2
25 17.4
30 16.4
35 15.3