. If you enter Interstate 40 at mile marker 23 in Sayre, Oklahoma, how far would you need to travel to reach mile marker 125 in El Reno, Oklahoma? After reaching El Reno, you might worry that your vehicle is running low on fuel. You know that your vehicle can travel 32 miles per gallon (miles/gallon).
Write an inequality that shows the mile markers (m) that you can reach from El Reno, traveling in either direction, when g is the amount of fuel, in gallons, in your vehicle.
To determine the distance you would need to travel from mile marker 23 in Sayre, Oklahoma to mile marker 125 in El Reno, Oklahoma, you can subtract the starting mile marker from the ending mile marker:
Distance = Mile marker 125 - Mile marker 23 = 125 - 23 = 102 miles.
After reaching El Reno, if you are worried about your vehicle running low on fuel, you can calculate the maximum distance you can travel using the given fuel efficiency of 32 miles per gallon (miles/gallon).
Let's use the variable "m" to represent the mile marker and "g" to represent the amount of fuel in gallons.
To find the mile markers (m) that you can reach from El Reno, traveling in either direction, we need to find the range of mile markers based on the available fuel. Assuming you start with "g" gallons of fuel, you can find the maximum distance you can travel by multiplying the fuel efficiency of 32 miles per gallon by the amount of fuel in gallons:
Distance = g * 32.
Therefore, the inequality that represents the range of mile markers is:
m ≤ g * 32 + 125 and m ≥ 125 - g * 32.
In this inequality, if you have "g" gallons of fuel, the value of "m" should be greater than or equal to (125 - g * 32) and less than or equal to (g * 32 + 125) to represent the range of mile markers you can reach from El Reno.