Marshall is comparing different companies that rent sound systems. The total cost, $y$ , for each company includes a fixed renta
l fee plus an additional fee based on the number of hours, $x$ , the sound system is rented. Information about the cost for each company is shown below. The graph on the left is titled, Company A, total cost and number of hours. The horizontal axis is labeled, Number of Hours, and ranges from 0 to 10. The vertical axis is labeled, total cost, in dollars, and ranges from 0 to 200. The table on the top right is titled, Company B. The table has two columns and four rows. From left to right, the column headings reed, X, Y. The first row reads, 0, 50. The second row reads, 2, 90. The third row reads, 4, 130. The fourth row reads, 6, 170. The equation on the bottom right is titled, company C. The equation reads, y equals ten x plus 90.
Part A Which company has the lowest additional fee per hour for renting a sound system? Show or explain how you found your answer. Respond in the space provided.
Question 2 Part B Marshall claims that the company that has the lowest fixed rental fee is always the company that will represent the lowest total cost for renting a sound system. Is Marshall’s claim correct? Justify your answer with an example from the situation. Respond in the space provided.
Part A Which company has the lowest additional fee per hour for renting a sound system? Show or explain how you found your answer. Respond in the space provided.
Question 2 Part B Marshall claims that the company that has the lowest fixed rental fee is always the company that will represent the lowest total cost for renting a sound system. Is Marshall’s claim correct? Justify your answer with an example from the situation. Respond in the space provided.
2 answers:
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Answer:
Step-by-step explanation:
So to define a recursive equation, you need to find how much each term is increasing or decreasing by. You also need to find the first term. To find the first term you can simply plug in 1 into x: . And as you can see the slope is 6, so each term is increasing by 6. So you get the recursive function: