Option A

A discrete graph is one with scattered points that may or may not show a direction or trend. They don't have data in between the points already given, and they represent a series of unconnected points.

To determine which description is represented by a discrete graph, let's follow the steps:

Steps to Solve the Problem

1. Identify if the quantities involved are discrete or continuous.

2. Discrete quantities can be counted (like whole numbers), whereas continuous quantities can take on any value within a range.

3. Check if the situation can be represented by a series of unconnected points.

Analyzing the Options

A. Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?

- The price of each bowl is fixed.

- The number of bowls can be counted as 1, 2, 3, etc., up to the number bought.

- Therefore, the total cost is a discrete function of the number of bowls, represented by a series of unconnected points (e.g., 1 bowl, 2 bowls, etc.).

B. The temperature at 9 a.m. was 83° F and is heating up at an average rate of 6° F per hour. What is the temperature x hours later?

- This scenario describes a continuous change in temperature over time.

C. Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?

- While the total calories could also be considered discrete, the question specifies a single best answer, which is option A based on the problem description provided.

D. A bottle contained 2,000 mL of liquid and is being poured out at an average rate of 300 mL per second. How much liquid is left in the bottle after x seconds?

- This scenario describes a continuous decrease in the amount of liquid over time.

Final Answer:

A. Kiley bought a platter for $19 and several matching bowls that were $8 each.

Key Concepts:

Discrete Graph: A discrete graph is a graph with only a few discrete points-for example, it represents data that may consist of discrete and separate values. A discrete graph is used to represent data points when they are countable and not continuous.

Continuous Graph: A graph that shows data that can take on any value within a range. The continuous graph is a line or curve.

Explanation:

Discrete Quantities: These are quantities that have unique, individual values, most often whole numbers. Examples include number of items bought and the number of servings eaten. A discrete graph is a graph where the values are shown as distinct points.

Continuous Quantities: These are quantities that can assume any value within a set. Performance across time is another example, or the volume of a liquid that is being poured continuously. Graphs of continuous data Therefore, graphs will be represented by a solid line/curve indicating that the data can assume all possible values within the range, not just discrete points.