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PSAT Math Multiple-Choice Practice Question 541

Question: 541

Maria plans to purchase a new cell phone for her existing data plan. The cell phone will have a 6.5% sales tax on the purchase price, plus a flat fee of $20 for the phone charger. She has already used 2 Gigabytes of data this month, and her limit is 7 Gigabytes. Maria uses data for 2 hours each day and uses 0.25 Gigabytes for each of those hours. She will use the equation , where m is the number of minutes of power and n is the number of kilowatt-hours of electricity, to determine her charge efficiency, p.

Maria can use which of the following inequalities to model the number of days, d, she can use her phone before she hits or goes over her limit of 7 Gigabytes?

Correct Answer: B

Explanation:

B

The question asks for an inequality that models a specific situation. Translate the English to math in bite-sized pieces. The days are represented as d. The inequality must show the number of days before she hits or goes over her limit or 7 Gigabytes. This means that the expression containing d must be less than or equal to 7, which is represented as "≤ 7." Eliminate (C) and (D), as the expression for days is not less than or equal to 7. The question asks about data use of 2 hours each day and 0.25 Gigabytes for each of those hours, so Maria uses 0.25(2) = 0.5 Gigabytes of data each day, represented as 0.5d. Eliminate (A), as it does not show 0.5 Gigabytes used each day. The correct answer is (B).

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