Question

The speed limit on highways in Florida is 70 miles per hour. Write and solve an inequality to find how long it will take you to travel the 105 miles from Orlando to St. Augustine if you travel at or below the speed limit.

Answer 1

The relationship  between speed (s), distance (d), and time (t) is s = d/t. Substituting the given information, we see that 105/t < 70105 < 70t1.5 < t So, the time will be AT LEAST 1.5 hours. Hope this helps.

Answer 2

Answer:

The time will be at least 1.5 hours

Step-by-step explanation:

Data:

s = Maximum permitted speed ≤ 70 miles per hour

d = distance = 105 miles

t =?

Formula:

s ≤ d / t

By isolating the variable "t" we change the sign of inequality.

T ≥ = d / s

In this case, it is an inequality to know the minimum time (at least equivalent to the sign "≥") that will take you to travel the given distance. We know that it is the minimum time (≥) because the allowed speed is the maximum (speed is inversely proportional to time).

T ≥ d / s

T ≥ 105 miles / 70 miles per hour

T ≥ 1.5 hours

Therefore, the time will be at least 1.5 hours .

Hope this helps!