Answer:
A frequency distribution lists the<u> number</u> of occurrences of each category of data, while a relative frequency distribution lists the <u>proportion</u> of occurrences of each category of data.
Explanation:
A "frequency distribution" is one of the ways in organizing a data, either by <em>listing the information, putting them in a table or showing them in a graph.</em> The items in the list (distinct values) are then counted when it comes to the number of times they've occurred.
Thus, this explains the first answer, "number."
On the other hand, a "relative frequency distribution" refers to the proportion of the overall number of observations in a particular category. <u>You can get this by dividing each frequency with the total number of data in a sample.</u>
Thus, this explains the second answer, "proportion."
Lucia made a mistake when she rewrote the formula

To rewrite the formula to x is a function of y. we have to add 2y to both sides of the formula. Instead of adding 2y, Lucia subtracted 2y from the right side.
Instead of what she did, x should be written the following way
Answer:
James's monthly income is $1250.
Step-by-step explanation:
If the budget accounts for James's entire monthly income, the sum of the cost of all the items on the budget is his total monthly income.
Income = 300 + 175 + 125 + 200 + 250 + 50 + 25 + 125 = $1250
Answer: The constant of proportionality is r = 5.
Step-by-step explanation:
O, we know that x and y are proportional, this means that:
y = r*x
where r is the constant of proportionality.
we also have the table
x y
7 35
12 60
20 100
Now, we can replace those values in our equation and get, for the first pair:
35 = r*7
r = 35/7 = 5
for the second pair:
60 = r*12
60/12 = 5 = r
So we can conclude that the constant of proportionality is 5.