In this resource we practiced solving proportional relationships by multiplying by a constant, and we covered three special cases.
| Unit rate—a ratio where the denominator is 1 | |
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Conversion factors—a way to convert from one system of measurement to another |
| Percent problems—finding a part of a whole by multiplying by a percent | |
Solve the following sample problems.
Example 1:
Mike is driving on the highway at a rate of 65 miles per hour. Write an equation that you could use to solve for d, the distance he drives in h hours.
How far would Mike drive in 7 hours at this speed?
Example 2:
A mechanic is working on the engine of a car that is stalled on the side of the road. The mechanic needs to remove a bolt to get to the part of the engine that is broken. The bolt head is marked in inches, but the mechanic only brought his wrench set that is marked in millimeters. There are 25.4 millimeters in one inch.
Write an equation that the mechanic could use to calculate w, the correct wrench size in millimeters given b, the bolt size in inches.
Interactive popup. Assistance may be required.
w = 25.4b 
What size wrench would be most appropriate to remove a 3 over 4 3 4 inch bolt?
Example 3:
A music store is having a clearance sale, and everything in the store is 40% off. Write an equation that you could use to find d, the amount that is being discounted from an item that costs c dollars.
How much will be discounted from a $575 dollar guitar?