Q50.
Question
Answer the question that was passed at the beginning of the lesson.
How do step functions apply to postage rates?
Include the following in your answer:
- An explanation of why a step function is the best model for this situation, while your gas mileage as a function of time as you drive to the post office cannot be modeled with a step function, and
- A graph of a function that represents the cost of a first- class letter.
Step-by-Step Solution
Verified Answer
The graph of the function is shown below:
1Step-1 – Step function.
The graph of a step function is not linear. It consists of line segments or rays.
2Step-2 – Determine the function.
A step function can be used to model the cost of a letter in terms of its weight.
Given:
Here, weight of the letter is x.
Total postage cost is y.
The gas mileage of a car be any real number in an interval of real numbers, so it cannot be modeled by a step function. Gas mileage is a continuous function of time.
3Step-3 – Graph for function.
The graph of the function is shown below:
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