Question

The relationship between the postage rate and the weight of a letter can be defined by a piecewise function. The graph shows the 2018 postage rates for using regular service to mail a letter. Kiran and Mai wrote some rules to represent the postage function, but each of them made some errors

Answer 1

Kiran equation is incorrect because there are two rates when the weight is 1,2, and 3 ounces, also, the first symbol is incorrect; on the other hand, Mai is incorrect because the prices for 1, 2, and 3 ounces are not correctly expressed.

What is a function?

A function is an expression that shows how two factors, in this case, rate and weight are related. These functions are usually created based on specific data and they should relate the data correctly.

What was Kiran's mistake?

1. There are two rates for 1, 2, and 3 ounces: The use of symbols Kiran used to explain the rate for 1, 2, and 3 ounces is incorrect. Let's examine an example:

• 0.71  1  ≤  w ≤ 2
• 0.92  2  ≤ w  ≤ 3

It seems the rate for 2 pounds can be both 0.71 and 0.92 because in the first line if the weight is less or equal to 2, the rate is 0,71 and this also happens in the second line.

2. The first symbol he used is incorrect because it seems like there is a charge even if the weight is 0, which is impossible.

• 0.50 0  ≤ w  ≤ 1 (The rate if the weight is less or equal to 0 is 0.50)

What is Mai's mistake?

1. Similarly to Kiran she did not express the rate and the pounds correctly. Let's look at one example:

• 0.71 1 < w < 2 (if the weight is less than 2 the rate is 0.71, which is incorrect because the rate is 0.71 if the weight is less or equal to 2)

Note: This question is incomplete; here is the missing section:

Identify the error in each person's work:

Learn more about rates in: https://brainly.com/question/25565101