Question

mr. martinez is buying art supplies for his classroom. he plans to buy tubes of paint, rolls of paper, markers, crayons, bottles of glue, and aprons. the prices for different quantities of each type of item are shown in the tables below.
tubes of paint

number	price
5	$17.50
11	$38.50

rolls of paper

number	price
12	$39.00
21	$136.50

markers

number	price
25	$8.75
55	$13.75

crayons

number	price
100	$5.00
225	$11.25

bottles of glue

number	price
30	$12.60
65	$21.45

aprons

number	price
28	$53.20
40	$76.00

for which supplies does a proportional relationship exist between the number of items purchased and the price? drag and drop each type of art supply to the correct box in the table.
proportional relationship
tubes of paint
rolls of paper
markers
crayons
bottles of glue
aprons
nonproportional relationship

Explanation:

Step1: Check proportionality for Tubes of Paint

Calculate unit price: $\frac{10.50}{3}=3.5$, $\frac{17.50}{5}=3.5$, $\frac{38.50}{11}=3.5$. Constant unit price.

Step2: Check proportionality for Rolls of Paper

Calculate unit price: $\frac{13.00}{4}=3.25$, $\frac{91.00}{12}\approx7.58$, $\frac{186.00}{21}\approx8.86$. Non-constant unit price.

Step3: Check proportionality for Markers

Calculate unit price: $\frac{5.00}{10}=0.5$, $\frac{8.75}{25}=0.35$, $\frac{13.75}{55}=0.25$. Non-constant unit price.

Step4: Check proportionality for Crayons

Calculate unit price: $\frac{12.20}{24}\approx0.51$, $\frac{50.00}{100}=0.5$, $\frac{112.5}{225}=0.5$. Constant unit price.

Step5: Check proportionality for Bottles of Glue

Calculate unit price: $\frac{6.60}{12}=0.55$, $\frac{12.60}{30}=0.42$, $\frac{21.45}{65}=0.33$. Non-constant unit price.

Step6: Check proportionality for Aprons

Calculate unit price: $\frac{28.50}{15}=1.9$, $\frac{53.20}{28}=1.9$, $\frac{76.00}{40}=1.9$. Constant unit price.

Answer:

Proportional Relationship: tubes of paint, crayons, aprons
Nonproportional Relationship: rolls of paper, markers, bottles of glue