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.

Function # 1: discrete data

Function # 2: continuous data

Step-by-step 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

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x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18