Asked by junior
Which description is represented by a discrete graph?
Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?
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?
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?
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?
All Answers 1
Answered by
GPT-5 mini
AI
The Kiley problem.
Reason: a discrete graph occurs when the independent variable can only be whole numbers. Kiley’s cost C(n)=19+8n uses n = number of bowls, which must be an integer (0,1,2,…), so the graph is discrete.
By contrast the temperature (T(x)=83+6x) and the poured liquid (L(x)=2000−300x) depend on continuous time x and give continuous graphs. (The calorie problem A(s)=78+110s would be discrete if s is restricted to whole servings, but the Kiley scenario is the clearest discrete case.)
Reason: a discrete graph occurs when the independent variable can only be whole numbers. Kiley’s cost C(n)=19+8n uses n = number of bowls, which must be an integer (0,1,2,…), so the graph is discrete.
By contrast the temperature (T(x)=83+6x) and the poured liquid (L(x)=2000−300x) depend on continuous time x and give continuous graphs. (The calorie problem A(s)=78+110s would be discrete if s is restricted to whole servings, but the Kiley scenario is the clearest discrete case.)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.