Question

Diep bought a baguette loaf of bread 65 centimeters long. For lunch every afternoon, he cuts 15 centimeters of bread for his sandwich. Diep wants to determine the length of the loaf of bread, l, after d days. What is the equation of the scenario? Is the graph of the equation continuous or discrete?

Answer 1

Given that the original length of the baguette is 65, and for each day 15 gets cut off, we have the function l(d) = 65 - 15d where d is a positive integer representing the nth day. As a matter of fact, the possible vaalues for d are 0, 1, 2, 3, and 4. Since on the 5th day, there won't be enough baguette anymore. This shows that the function l(d) is not continous since only certain points satisfy the condition. Thus, the function is l(d) = 65 - 15 where {d| 0 ≤ d ≤ 4} and it is discrete.