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15. Melanie is comparing the price of two party planners, Party Planner 1 and Party Planner 2. Party Planner 1 uses the equation, y = 15x + 75, where x is the number of people attending the party and y is the total cost. Prices for Party Planner 2 are shown in the table. Party Planner 2 Cost Number of People Attending ($) 20 490 25 590 35 790 50 1,090 Which statement is true? A Party Planner 2 charges $5 more per person than Party Planner 1. B. Party Planner 2 charges $15 more per person than Party Planner 1. C. Party Planner 1 charges $5 more per person than Party Planner 2. D. Party Planner 1 charges $15 more per person than Party Planner 2.
A is true because y=15x+75 means that they charge $15 for every person but $75 right away. For planner 2, they charge $20 a person because comparing coordinates 1 and 2, every 5 people charge $100. So to find the amount per person for planner 2, divide 100 by 5 and you'll get 20, and since 20 is 5 more than 15. A is true.
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