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danny is taking a road trip. after 36 miles, he reaches a stretch of hi…

Question

danny is taking a road trip. after 36 miles, he reaches a stretch of highway with a speed limit of 60 miles/hour. danny is trying to figure out the minimum number of hours hell need to drive to reach over 300 total miles for the trip, assuming he stays under or at the speed limit.

he creates the inequality \\(60t + 36 \ge 300\\), where \\(t\\) is the time elapsed, in hours.

what statement is the most accurate?

danny needs at least 7 hours to drive 300 miles.
danny may drive 300 miles in 5 hours.
at 4 hours, danny will have just driven 300 miles.
it isnt possible to drive 300 miles before the day is over.

Explanation:

Solve the inequality for t

$$ LATEXBLOCK0 $$

Evaluate the given statements

$$ LATEXBLOCK1 $$

Answer:

  • Danny needs at least 7 hours to drive 300 miles.
  • Danny may drive 300 miles in 5 hours. (Correct answer)
  • At 4 hours, Danny will have just driven 300 miles.
  • It isn't possible to drive 300 miles before the day is over.