so = an average increase of 24 coyotes per year, which is (B).- D The median number of coyotes in the park in 1995 was 20, and the median number of
coyotes in the park in 1996 was 60. (Be careful to RTFQ; the question wants the median,not the line of best fit!) In order to calculate the percent increase, it is necessary to use thepercent change formula: × 100. The calculation here will be × 100 = × 100 = 2 × 100 = 200%, which is (D).
A Start with the easier equation and use Process of Elimination. The easier equation is related
to the total number of shirts and pants, s + p, sold on a regular day. The question states that
on a regular day Bailey’s sells the number of pants and shirts sold during a sale. (60) =
Therefore, one of the equations in the correct answer will be s + p = 40. Eliminate (C)
and (D) since neither includes this equation. The other equation is related to the money
Bailey’s earns on a regular day. According to the question, Bailey’s earns a total of $1,875
on a regular day, so the equation must equal $1,875. Eliminate (B) because the total in the
money equation is incorrect. The correct answer is (A).
C There are a few different ways to approach this question. In any approach, the best first step
is to figure out how much income Bryan earned during the two-week period without the
commission. Since he worked an average of 35 hours per week for two weeks, he worked a
total of 70 hours. At a rate of $10.00 per hour base pay, this would add up to $700.00 (70 ×
10 = 700). Since Bryan’s earnings were actually $850.00, that means he must have earned
$150.00 of commission (850 – 700 = 150). At this point, you can calculate the percent
commission algebraically or simply work backwards from the answer choices.
Algebraically, you know that $150.00 is equal to a certain percent of $5,000.00 in sales,
which can be represented as follows: 150 = (5,000). Solve for x, and you get 3, which
is(C). If instead you wish to work backwards from the answer choices, you can take each
choice and calculate what 1%, 2%, etc. of $5,000.00 would be, and then add that back to
$700.00 to see which choice matches your target of $850.00: (C).
C Cross-multiply to get 3(C + x) = (x − 3)(x + 8). Expand the right side of the equation to get
3(C + x) = x^2 + 5x − 24. Distribute the 3 to get 3C + 3x = x^2 + 5x − 24. Subtract 3x fromboth sides of the equation to get 3C = x^2 + 2x − 24. Factor the right side of the equation toget 3C = (x + 6)(x − 4). Divide both sides by 3 to get C = = (x + 6)(x −4). The correct answer is (C). Alternatively, you can plug in for x to get a target value for