Question

at a bakery, a batch of dough can make a number of bagels. use the graph of this step function to find how many batches will need to be made for 13 people.

Explanation:

Step1: Analyze the step - function graph

A step - function (also known as a piece - wise constant function) has intervals of the input variable (number of people) where the output variable (number of batches) is constant.
Looking at the graph:

• For \(1\leq x < 5\), the number of batches \(y = 1\)
• For \(5\leq x < 10\), the number of batches \(y = 2\)
• For \(10\leq x < 15\), the number of batches \(y = 3\)
• For \(15\leq x\leq20\), the number of batches \(y = 4\)

Step2: Locate the value of \(x = 13\) in the interval

Since \(10<13<15\), we use the rule for the interval \(10\leq x < 15\)

Answer:

3