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?
Answers
We begin by defining what a discrete graph is :
A discrete graph is a series of unconnected points.
Any option with a rate of change or rate of consumption represents a continuous graph.
Therefore the correct answer is :
A. Kiley bought a platter for $19 and several matching bowls that were $8 each.
We see that the price of each bowl is fixed.
The bowls can also be counted from 1, 2,3... Upto the number bought.
This therefore gives a discrete graph.
Answer:
Option A :This is discrete because here we can see that the price for different bowls are fixed. We can count the number of bowls. This tells that the situation is not continuous. Therefore, this situation gives a discrete graph.
Option B: is a continuous graph as the temperature will change gradually.
Options C and D are not discrete as well
Step-by-step explanation:
A and D can be represented by a discrete graph. A discrete graph is a series of countable unconnected points with domain→ a set of input values including all numbers in an interval.
(option a) This description can be represented by a discrete graph because we can count the number of bowls Kiley bought. ∴ it’s not continuous.
(option b) This description cannot be represented by a discrete graph because it will gently get hotter with time. The temperature can be in decimal form.∴ This description is said to be continuous not discrete.
(option c)This description can be represented by a discrete graph because there Juan ate 78 calories and 110 calories,∴ the total amount of calories he consumed= 188 calories. After that there is no other input ,so it is countable and is discrete.
(option d)This description cannot be represented by a discrete graph ∵this is continuous as with respect to time liquid is being poured out so we cannot count liquid ∴ this is not discrete.
A discrete graph is a series of scatter plot points. It means point on graph aren’t continuous manner. A continuous function allows the x-values to be any points in the interval, including fractions, decimals, and irrational values. A discrete function allows the x-values to be only certain points in the interval, only integers or whole numbers.
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