Question

the maximum speed of a car on a trip is 55 miles per hour. write and solve an inequity that represents the number of hours it takes the car to travel 330 miles

Answer 1

Answer

The inequality to solve this is

(330/Time) ≤ 55

The solution of this inequality is

Time ≥ 6 hours

Explanation

We are told that the car's maximum speed is 55 miles per hour.

To solve this, we should note that

Speed = (distance/time)

But for this question, we are told that the car has a maximum speed of 55 miles per hour.

So,

(Distance/Time) ≤ 55

If the distance covered is 330 miles

(Distance/Time) ≤ 55

(330/Time) ≤ 55

$\begin{gathered} \frac{330}{\text{Time}}\le55 \\ \text{Multiply both sides by Time} \\ \frac{330}{\text{Time}}\times Time\le55\times Time \\ 330\le55(\text{Time)} \\ We\text{ can then rewrite this as} \\ 55(\text{Time)}\ge330 \end{gathered}$

55 (Time) ≥ 330

Divide both sides by 55

Time ≥ (330/55)

Time ≥ 6 hours

Hope this Helps!!!