Question

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 ); continuous

( l = 65 - 15d ); discrete

( 65 = l - 15d ); discrete

( 65 = l - 15d ); continuous

Explanation:

Step 1: Determine the equation

The initial length of the bread is 65 cm. Each day, 15 cm is cut off. So after \( d \) days, the total length cut off is \( 15d \) cm. The remaining length \( l \) should be the initial length minus the length cut off. So the equation is \( l = 65 - 15d \).

Step 2: Determine if the graph is discrete or continuous

The variable \( d \) represents the number of days, which must be a non - negative integer (you can't have a fraction of a day in this context, as you cut bread once per day). Since the domain (values of \( d \)) consists of discrete points (integers), the graph of the equation \( l = 65 - 15d \) will be discrete.

Answer:

\( l = 65 - 15d \); discrete