A text messaging plan charges a flat fee of $5 per month for up to 100 text messages sent plus $0.25 for each additional text message sent that month. Which of the following graphs represents the cost, y, of sending x texts in a month?
Correct answer: A. A
- A. A
- B. B
- C. C
- D. D
Explanation
Choice A is correct. The text messaging plan charges a flat fee of $5 per month for up to 100 text messages. This is represented graphically with a constant value of y = 5 for 0 ≤ x ≤ 100. After 100 messages, each additional message sent costs $0.25. This is represented graphically with an increase of 0.25 on the y-axis for every increase of 1 on the x-axis. Choice A matches these descriptions.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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