Write and solve an inequality.

SOLVING MULTI- STEP INEQUALITIES

On a trip from Virginia to Florida, the Sampson family wants to travel at least 420 miles in 8 hours of driving. What must be their average rate of speed?

420/8 = 52.5 mph

I already knew to do that i need you to write an INEQUALITY

To solve this problem, we need to set up an inequality to represent the situation and then solve for the unknown variable.

Let's call the average rate of speed the Sampson family needs to travel as "r" (in miles per hour).

We know that the distance they want to travel is at least 420 miles, and they have 8 hours of driving. So, the inequality representing this situation is:

Distance ≥ Speed × Time

420 ≥ r × 8

To solve for "r" (the average rate of speed), we can divide both sides of the inequality by 8:

420/8 ≥ r

52.5 ≥ r

Therefore, the average rate of speed the Sampson family must travel to cover at least 420 miles in 8 hours is 52.5 miles per hour.

on a trip from indiana to flordia, the smith family wants to travel at least 530 miles in 10 hours of driving. What must be their average rate of speed?