Let's analyze the given scenario step by step to determine the correct equation and whether the graph should be continuous or discrete.
1. Initial length of loaf of bread: 65 centimeters.
2. Bread cut each day: 15 centimeters.
3. Let \( l \) represent the length of the loaf of bread remaining after \( d \) days.
Since Diep cuts 15 centimeters of bread each day, the length of the loaf decreases by 15 centimeters with each passing day. Therefore, after \( d \) days, the length of the loaf can be represented by the initial length minus 15 centimeters for each day:
\[ l = 65 - 15d \]
Next, we need to determine if the graph is continuous or discrete. Since Diep cuts bread once each day, \( d \) (days) is a discrete variable (it can only take integer values like 0, 1, 2, ...). You cannot have a fraction of a day in this context.
Thus, the graph representing this scenario should be discrete, representing only integer values of \( d \) on the horizontal axis.
Therefore, the correct answer is:
\[ l = 65 - 15d; \text{discrete} \]
Diep buys a 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?
l = 65 – 15d; discrete
l = 65 – 15d; continuous
65 = l – 15d; discrete
65 = l – 15d; continuous
1 answer