In the section opener, we saw that 80x – 8000 f(x) 30 s xs 100 110 models the government tax revenue, f(x), in tens of billions of dollars, as a function of the tax rate percentage, x. Use this function to solve Exercises 55–58. Round to the nearest ten billion dollars. 55. Find and interpret f(30). Identify the solution as a point on the graph of the function in Figure 6.4 on page 439. 56. Find and interpret f(70). Identify the solution as a point on the graph of the function in Figure 6.4 on page 439. 57. Rewrite the function by using long division to perform (80x - 8000) - (x - 110). Then use this new form of the function to find f(30). Do you obtain the same answer as you did in Exercise 55? Which form of the function do you find easier to use? 58. Rewrite the function by using long division to perform (80x – 8000) - (x – 110).
In the section opener, we saw that 80x – 8000 f(x) 30 s xs 100 110 models the government tax revenue, f(x), in tens of billions of dollars, as a function of the tax rate percentage, x. Use this function to solve Exercises 55–58. Round to the nearest ten billion dollars. 55. Find and interpret f(30). Identify the solution as a point on the graph of the function in Figure 6.4 on page 439. 56. Find and interpret f(70). Identify the solution as a point on the graph of the function in Figure 6.4 on page 439. 57. Rewrite the function by using long division to perform (80x - 8000) - (x - 110). Then use this new form of the function to find f(30). Do you obtain the same answer as you did in Exercise 55? Which form of the function do you find easier to use? 58. Rewrite the function by using long division to perform (80x – 8000) - (x – 110).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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Transcribed Image Text:In the section opener, we saw that
80x – 8000
f(x)
30 s xs 100
110
models the government tax revenue, f(x), in tens of billions
of dollars, as a function of the tax rate percentage, x. Use this
function to solve Exercises 55–58. Round to the nearest ten
billion dollars.
55. Find and interpret f(30). Identify the solution as a point
on the graph of the function in Figure 6.4 on page 439.
56. Find and interpret f(70). Identify the solution as a point
on the graph of the function in Figure 6.4 on page 439.
57. Rewrite the function by using long division to perform
(80x - 8000) - (x - 110).
Then use this new form of the function to find f(30). Do
you obtain the same answer as you did in Exercise 55?
Which form of the function do you find easier to use?
58. Rewrite the function by using long division to perform
(80x – 8000) - (x – 110).
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