Solve for C to get , then 0 = 3 – C, and finally 3 = C. The correctanswer is (D).
A All of the answer choices refer to the number of salary-satisfied bachelor’s-degree-holders,
so you must use the follow-up survey results to calculate that number. First, find the percent
of bachelor’s-degree-holders who reported also being salary-satisfied in the follow-up
survey. This number was 658 out of the 1,000 people, so divide 658 by 1,000 and then
multiply by 100 to get the percent. The result is 65.8% salary-satisfied bachelor’s-degree-
holders for the follow-up survey. Since the people in the follow-up were randomly
selected, you can assume that they are generally representative of the bachelor’s-degree-
holding population at large. Therefore, the 65.8% of salary-satisfied individuals should be
true of all 24,236,000 job-satisfied bachelor’s-degree-holders. Watch the units on charts—
this one is in the thousands, so there are 24,236,000 not 24,236 job-satisfied bachelor’s-
degree-holders. Multiply 65.8%, or .658, by the total number of job-satisfied bachelor’s-
degree-holders, 24,236,000, to find that there should be 15,947,288 salary-satisfied, job-
satisfied bachelor’s-degree-holders. Choice (A) is the closest to this and is the correct
answer.
A The equation of a line expressed in slope-intercept form is y = mx + b, where m is the slope
and b is the y-intercept. One way to find the y-intercept of line d is to plug in the slope andgiven point and solve for b. The equation y = mx + b becomes 1 = (1) + b. Subtract fromboth sides to get b = . The y-intercept of line e is 3 times , so the y-intercept of line e is.Additionally, parallel lines have slopes that are equal to each other. Therefore, line e willalso have a slope equal to . Therefore, the equation of line e is y = x + . Rewrite thisin a form that looks more like the answer choices by multiplying everything by 5 to get 5y =4 x + 3. Subtract 4x from both sides to get 5y – 4x = 3. Therefore, the correct answer is (A).- B An extraneous solution is an answer that when plugged back into the equation causes the
equation to be false. Begin by factoring and reducing the fraction on the left side of theequation to get or q – 7 = . Square both sides of theequation to get q^2 – 14q + 49 = q – 5. Set the equation to 0 to get q^2 – 15q + 54 = 0. Factorthe quadratic to get (q – 9)(q – 6) = 0. Therefore, q = 9 or q = 6. Eliminate (A) and (C)