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; discrete l = 65 – 15d; continuous 65 = l – 15d; discrete 65 = l – 15d; continuous

Answer 1

Answer:

The equation is I = 65 - 15d and it's continuous

Step-by-step explanation:

First, let's discart the options. The last two options cannot be because if you solve for I in those equations, you'll get the following:

65 = I - 15d

I = 65 + 15d

Now, suppose that after 1 day, you want to know the length of the bread:

I = 65 + 15(1) = 80

This is impossible because the bread is being cut and it's not growing each afternoon. Therefore these options, wheter is discrete or continuous are discarted.

The correct equation to use is then

I = 65 - 15d

Now, how do you know if the graph is continuous or discrete?. A graph is continuous when all the points belonging to a set, can take any value within an interval. A discrete graph all the values belonging to a set, are distinct and separate one of another, in other words, the values are unconnected.

In this case, if you graph this equation, you have the following (see attached graph)

As you can see, all the values are connected and continuous.

Answer 2

Answer : B

Step-by-step explanation: