Question

Determine whether the function rule models discrete or continuous data. Function # 1: A movie store sells DVDs for $15 each. The function C(d) = 15d relates the total cost of movies to the number purchased d. Function # 2: A produce stand sells roasted peanuts for $2.99 per pound. The function C(p) = 2.99p relates the total cost of the peanuts to the number of pounds purchased p.

Answer 1

A.
discrete

Since the number of DVDs is discrete, so is the cost.

Answer 2

Function # 1: discrete data

Function # 2: continuous data

Explanation:

Given :

Function 1: A movie store sells DVDs for $15 each

The function C(d) = 15d

d relates the number of DVDs purchased

C(d) = total cost of DVDs

Function 2:A produce stand sells roasted peanuts per pound for $2.99.

The function C(p) = 2.99p

C(p) = the total cost of the peanuts to the number of pounds purchased p.

Solution : Understand the fact that Discrete data is countable and Continuous data is measurable

So, we can see that in case of DVDs it is a countable case so FUNCTION 1 is discrete.

Its graphical representation is a bar graph

Again Understand the fact that Discrete data is countable and Continuous data is measurable

So, we can see that in case of peanuts it is a measurable case so FUNCTION 2 is continuous.

Its graphical representation is a histogram