
Concept explainers
Solve each equation in Exercises 73–81 by the method of your choice.
One possible reason for the explosion of college tuition involves the decrease in government aid per student. In 2001, higher-education revenues per student averaged $8500. The bar graph shows government aid per U.S. college student from 2005 through 2012. (All figures are adjusted for inflation and expressed in 2012 dollars.)
The mathematical model
describes government aid per college student, G, x years after 2005.
a. Does the model underestimate or overestimate aid per student in 2011? By how much?
b. If we project the model past 2012, determine in which year government aid per student decreased to $4127.

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Chapter 1 Solutions
COLLEGE ALGEBRA-COMBO ACCESS (18 WEEKS)
- 1) Express these large and small numbers from the Read and Study section in scientific notation: (a) 239,000 miles (b) 3,800,000,000,000 sheets of paper (c) 0.0000000000000000000000167 grams 2) Find all values for the variable x that make these equations true. (a) 5x = 1 (b) 3x = 1/1 9 (c) 4* = 11/ 4 (e) 4* = 64 (g) 10x = 1,000,000 (d) 3x=-3 (f) 2x = = 8 (h) 10x = 0.001arrow_forward(b) 4) Find an equation to fit each of the following graphs: (a) 20 20 18 16 14 12 10 8 6 4 2 24 22 20 18 16 14 12 10 8 16 A 2 -3 -2 -1-0 2 3 4. -1 0 1 2 3. -2 -2arrow_forward3) Which of the following are equivalent to 3? (There may be more than one that is equivalent!) -1 (a) (9)¯¹ 3. (b) (-3)-1 (c) (-3) -1 (d) -(¯3) (e) 11 3-1 (f) 3-4arrow_forward
- Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations? 7 y 6 5 4 3 2 -6-5-4-3-2-1 1+ -2 1 2 3 4 5 6 x + 2y = 8 2x + 4y = 12 The slopes are different, and the y-intercepts are different. The slopes are different, and the y-intercepts are the same. The slopes are the same, and the y-intercepts are different. O The slopes are the same, and the y-intercepts are the same.arrow_forwardChoose the function to match the graph. -2- 0 -7 -8 -9 --10- |--11- -12- f(x) = log x + 5 f(x) = log x - 5 f(x) = log (x+5) f(x) = log (x-5) 9 10 11 12 13 14arrow_forwardWhich of the following represents the graph of f(x)=3x-2? 7 6 5 4 ++ + + -7-6-5-4-3-2-1 1 2 3 4 5 6 7 -2 3 -5 6 -7 96 7 5 4 O++ -7-6-5-4-3-2-1 -2 -3 -4 -5 -7 765 432 -7-6-5-4-3-2-1 -2 ++ -3 -4 -5 -6 2 3 4 5 6 7 7 6 2 345 67 -7-6-5-4-3-2-1 2 3 4 5 67 4 -5arrow_forward
- 13) Let U = {j, k, l, m, n, o, p} be the universal set. Let V = {m, o,p), W = {l,o, k}, and X = {j,k). List the elements of the following sets and the cardinal number of each set. a) W° and n(W) b) (VUW) and n((V U W)') c) VUWUX and n(V U W UX) d) vnWnX and n(V WnX)arrow_forward9) Use the Venn Diagram given below to determine the number elements in each of the following sets. a) n(A). b) n(A° UBC). U B oh a k gy ท W z r e t ་ Carrow_forward10) Find n(K) given that n(T) = 7,n(KT) = 5,n(KUT) = 13.arrow_forward
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