Set 16: Linear Inequalities (Intermediate)

Choice A is correct. Choice A is the correct answer. Be careful: $d$ is TOTAL data, not just extra data. 1. Extra Budget: $70- \40 = $30 available for extra data. 2. Extra GB: $30 \div$ \$10/GB = 3 GB extra. 3. Total Data: 2 GB (included) + 3 GB (extra) = 5 GB. Alternatively: 1. Cost Equation: 40+ 10(d - 2) \leq 70 (where $d \geq 2$) 2. Solve: $10(d - 2) \leq 30$ 3. Divide: $d - 2 \leq 3$ 4. Add 2: $d \leq 5$ Strategic Tip: Always check if the variable represents "total" or "additional" amount. Choice B is incorrect because 3 GB is the *extra* data allowed, not total. Choice C is incorrect because it assumes all \70is for data ($70 /10 = 7$$). Choice D is incorrect because it's a distractor.