Final answer:
The correct inequality that represents the number of water bottles Jamie can buy with her remaining budget after purchasing nine candy bars is 1.25b ≤ 16.45. This considers the cost of the candy bars and the total budget available.
Step-by-step explanation:
To determine the inequality that represents all the possible values of b, the number of bottles of water Jamie can buy, we know that Jamie has to buy nine candy bars, which cost $0.95 each. So, the amount spent on candy bars is 9 multiplied by $0.95. We subtract this amount from Jamie’s total budget to find out how much money can be used to buy bottles of water.
The cost of a bottle of water is $1.25. Since Jamie has $25.00 to spend and we know that part of it will go toward the nine candy bars, the inequality should show the remaining budget as being greater than or equal to the cost of b bottles at $1.25 each, similar to looking at Alphonso's situation where he assessed the tradeoff between another burger and the cost in bus tickets. Therefore, we calculate the cost of nine candy bars: 0.95 × 9 = $8.55. Then the inequality representing the possible values of b is 1.25b ≤ ($25.00 - $8.55). Simplifying, we get 1.25b ≤ 16.45.
The correct inequality is 1.25b ≤ 16.45, which means the price of the water bottles (1.25 times the number b) must be less than or equal to $16.45, the amount remaining after buying the candy bars.