If his trip was 450 miles, how long did it take him to reach his destination?
As a first word problem, this one may seem a bit intimidating; don't let it discourage you, though.
Another one you may have seen is the area of a circle, with radius As soon as we know the length of the sides, we can find the area.
Literal numbers (the letters used in algebra) can either stand for variables (the value of the letter can change, like the w, h and r in the examples of the area of a rectangle and the area of a circle) or constants (where the value does not change), for example: And as my students constantly ask...
Check to see if the number is reasonable (for example, your average automobile can't be expected to go 1,000,000 miles per hour! Before we look at a few example problems, we need to first consider the use of units and unit analysis.
Units are simply identifiers that describe what a number is quantifying.
If the boiling point of water is and the melting point of water is , find the linear functions that convert from one scale to the other.
This problem asks us to find a conversion function that takes a Fahrenheit temperature reading and turns it into a Celsius temperature reading.
We know that we can find the distance traveled by multiplying the speed and the time traveled at that speed (for instance, if we travel 2 hours at 30 miles per hour, we have gone 60 miles).
In addition, we know that Bill travels a third of the time ( The Celsius (C) and Fahrenheit (F) temperature scales are related by a linear function.