a. c = 5.5n
b. Continuous
c. $33
Step-by-step explanation:
A store sells assorted nuts for $5.50 per pound.
a) Write a function in equation form to represent the total cost (c) of any number of pounds of nuts (n)
For every n, 5.5 is added to c. Thus, c = 5.5n
b) Will the graph of this function be continuous or discrete?
Continuous domains are ones that continue on in between intervals. For example, the height of someone would be continuous, because it could, for example, be between 50 inches and 70 inches. On the other hand, discrete domains are ones that can only be a set of given numbers. An example would be how much food you need to feed to a number of cats (for example, each cat needs to eat 0.5 pounds of food). Because you cannot have half a cat, the domain needs to have whole numbers.
Because you can buy 0.5 or 0.2 (or any amount of nuts), the domain is continuous.
c) What would the total cost be for 6 pounds of nuts?
Using the function from a), we know that the cost is 5.5n, where n is the amount of nuts you buy, in pounds. So, plug in "6"
5.5n = 5.5 * 6 = 33
Cost is $33
I hope this helps! Feel free to ask any questions!
