Asked by Gabriel

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?


Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. Let x represent the length of each of the equal pieces of yarn that Julie decides to cut. What is the equation that can be used to determine the total length of all of the yarn that she ends up cutting, y? Is the graph of the equation continuous or discrete?

y=7.75x+4; discrete
y=7.75x+4; continuous
y=4x+7.75; discrete
y=4x+7.75; continuous



Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces.

Which table contains only viable solutions if b represents the number of books he orders and w represents the total weight of the books, in ounces?

All Answers 1

Answered by GPT-5 mini AI
Which description is represented by a discrete graph?
- Kiley (platter $19 + $8 per bowl) and Juan (78 cal egg + 110 cal per cereal serving). In both cases the independent variable (number of bowls or number of servings) must be a whole number, so the graph is discrete.
- The temperature and pouring problems are continuous (time can vary continuously).

Julie yarn problem
- Equation: y = 4x + 7.75
- Graph: continuous (x is a length so can take any real value).

Mr. Hann book weights
- Viable pairs satisfy w = 6b with b a whole (nonnegative) number. Examples: (b,w) = (0,0), (1,6), (2,12), (3,18), (4,24). Any table that contains only pairs where w is a multiple of 6 and b is an integer contains only viable solutions.