The exact conversion between the English measurement system and the metric system is given by the equation 1 inch= 2.54 cm.
Let f(x) be the number of miles in x meters. Find a formula for f(x).
Give an exact answer.
xm * 100cm/m * 1in/2.54cm * 1ft/12in * 1mi/5280ft = 125x/201168 mi
To find a formula for f(x) which represents the number of miles in x meters, we need to convert the units from meters to miles.
Given that there are 1,609.34 meters in a mile, we can set up the proportion:
1 mile / 1,609.34 meters = f(x) miles / x meters
To solve for f(x), we cross-multiply the proportion:
1 mile * x meters = 1,609.34 meters * f(x) miles
This simplifies to:
x meters = 1,609.34 * f(x) miles
Next, we isolate f(x) by dividing both sides of the equation by 1,609.34:
f(x) miles = x meters / 1,609.34
Therefore, the formula for f(x) is:
f(x) = x / 1,609.34
This formula can be used to convert any given quantity in meters to its equivalent in miles.