Question

on a cross-country bicycle trip, participants ride about 75 miles per day. approximately how many days, (d), must they ride to travel at least 4,325 miles?

part a

which inequality represents the situation?

\\(\frac{d}{75} \le 4,325\\)
\\(\frac{d}{75} \ge 4,325\\)
\\(75d \le 4,325\\)
\\(75d \ge 4,325\\)

part b

what does the solution to the inequality represent in this situation?

a participant must ride at least 57 days to travel 4,325 miles.
a participant must ride at least 58 days to travel 4,325 miles.
a participant must ride at least 59 days to travel 4,325 miles.
a participant must ride at least 60 days to travel 4,325 miles.

Explanation:

Set up the inequality for Part A

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Solve the inequality for Part B

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Interpret the solution in context

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Answer:

Question 1

• (A) \(\frac{d}{75} \le 4,325\)
• (B) \(\frac{d}{75} \ge 4,325\)
• (C) \(75d \le 4,325\)
• (D) \(75d \ge 4,325\) (Correct answer)

Question 2

• (A) A participant must ride at least 57 days to travel 4,325 miles.
• (B) A participant must ride at least 58 days to travel 4,325 miles. (Correct answer)
• (C) A participant must ride at least 59 days to travel 4,325 miles.
• (D) A participant must ride at least 60 days to travel 4,325 miles.