Question

question 3 of 5
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 ≥ 300, where t is the time elapsed, in hours.
what statement is the most accurate?
a. danny needs at least 7 hours to drive 300 miles.
b. danny may drive 300 miles in 5 hours.
c. at 4 hours, danny will have just driven 300 miles.
d. it isnt possible to drive 300 miles before the day is over.

Explanation:

Step1: Isolate the term with t

Subtract 36 from both sides of the inequality $60t + 36\geq300$.
$60t+36 - 36\geq300 - 36$
$60t\geq264$

Step2: Solve for t

Divide both sides of the inequality by 60.
$t\geq\frac{264}{60}= 4.4$

Answer:

B. Danny may drive 300 miles in 5 hours.