Linear Modeling Word Problems
Identify the starting amount and the rate of change.
The rules
- In y = mx + b, b is the starting value and m is the rate per unit.
- Define the variable in words before writing the equation.
- Answer what is asked: the value, the rate or the time.
- Check that units match.
Watch out: Swapping the rate and the starting amount.
Worked example
A taxi costs $4 plus $2.50 per mile. A ride costs $29. How many miles?
- Write 4 + 2.5m = 29.
- 2.5m = 25, so m = 10.
Answer: 10
Try it yourself
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