Question

1. apply math models emily took an airplane trip. her plane flew an equal number of miles each hour. let m stand for the miles flown each hour. write an equation to represent one way you can find how many miles emilys plane flew each hour. boarding pass image with air travel time 12 hours, destination 2,184 miles, seat 23b

Explanation:

Step1: Recall the formula for distance

The formula relating distance (\(d\)), rate (\(m\), miles per hour here), and time (\(t\)) is \(d = m\times t\), where \(d\) is the total distance, \(m\) is the miles per hour, and \(t\) is the time in hours.
From the boarding pass, we know that the total distance \(d = 2184\) miles and the time \(t = 12\) hours.
Substituting these values into the formula \(d=m\times t\), we get \(2184 = 12\times m\) (or \(12m=2184\)). To find \(m\), we can also write the equation as \(m=\frac{2184}{12}\) (by rearranging the formula \(d = m\times t\) to solve for \(m\), we divide both sides by \(t\), so \(m=\frac{d}{t}\)).

Step2: Formulate the equation

Using the formula \(d = m\times t\), with \(d = 2184\) and \(t = 12\), the equation to find \(m\) (miles per hour) is \(12m=2184\) (or equivalently \(m=\frac{2184}{12}\)).

Answer:

The equation is \(12m = 2184\) (or \(m=\frac{2184}{12}\))