Use Process of Elimination to answer this question. According to the question, P represents the population, so the outcome of the entire equation has something to do with the population. Therefore, eliminate both (A) and (B) because 1.0635 can’t represent the population if P does. In the equation given, the only operations are multiplication and addition, which means that over time the population would increase. Therefore, eliminate (D). The correct answer is (C).

To solve the quadratic equation, first set the equation equal to 0. The equation becomes x² + 12x – 64 = 0. Next, factor the equation to get (x + 16)(x – 4) = 0. Therefore, the two possible solutions for the quadratic equation are x + 16 = 0 and x – 4 = 0, so x = -16 or 4. Since the question states that x > 0, x = 4 is the only possible solution. Another way to approach this question is to plug in the answers. Start with (B), x = 4. Plug 4 into the equation to get 4² + 12(4) = 64. Solve the left side of the equation to get 16 + 48 = 64, or 64 = 64. Since this is a true statement, the correct answer is (B).

To figure out the total number of shelving units Sai could use, find the total available wall space and divide by the length of the units. The total amount of wall space can be calculated as ​\( \frac{119-21}{7} \)​. Because the length of each unit is 7 feet, the maximum number of units Sai could put up can be calculated as . Because this is the maximum number of units Sai could put up, r has to be less than or equal to this number. Therefore, the correct answer is (A).

Weight is shown on the vertical axis of the graph, given in ounces. Make your own mark indicating 5.75 on this axis; then draw a horizontal line from that mark to the line of best fit. Once you hit it, draw a vertical line straight down to the horizontal axis. It should hit between 75 and 80 days, slightly closer to the mark for 75. This makes (C) the credited response. Draw your lines carefully, using your answer sheet as a straightedge if necessary.

Whenever the question includes variables, plug in. If s = 2, the shirts cost 2($24.50) = $49. The tax on the shirts is 0.07($49) = $3.43. So, the shirts with tax and the $6 shipping fee cost $49 + $3.43 + $6 = $58.43. Plug in 2 for s in the answers to see which answer equals the target number of $58.43. In (A), 0.07[24.50(2) + 6] = 3.85. This is not the target number, so eliminate (A). In (B), 1.07(24.50 + 6)(2) = 65.25. Again, this is not the target number, so eliminate (B). In (C), 1.07[24.50(2)] + 6 = 58.43. This is the target number, so keep it, but be sure to check the remaining answer choice. In (D), 1.07(24.50 + 2) + 6 = 34.355, which is not the target number. Therefore, the correct answer is (C).