Market Harvest: Proportional or Not?

Check the garden club’s tables and graphs before market day.

Check the Tables

The school garden club sells produce at a farmers market. Use all rows when deciding whether quantities are proportional.

Does this carrot sales table show a proportional relationship?

Carrot Sales
Bunches	Total price ($)
2	5
4	10
7	17.5

A. Yes; every price-to-bunches ratio equals 2.5.B. Yes; both columns increase in every row.C. No; the table does not include zero bunches.D. No; the price increases by different amounts.

Which statement correctly describes the radish sales table?

Radish Sales
Bunches	Total price ($)
1	3
3	7
5	11

A. It is not proportional because the price per bunch changes.B. It is not proportional because the bunch counts skip numbers.C. It is proportional because both quantities increase.D. It is proportional because each price increases by $4.

The club wants its cucumber prices to be proportional to the number sold.

Cucumber Price Plan
Cucumbers	Total price ($)
2	3
5	?
8	12

What price makes all three ratios equal? $

A student says that checking only the last three rows proves proportionality. Which statement correctly checks the entire table?

Produce Box Charges
Boxes	Total charge ($)
0	2
1	4
2	8
3	12

A. It is proportional; the nonzero rows all have a ratio of 4.B. It is not proportional; zero boxes must have a zero charge.C. It is not proportional; the box counts must start at 1.D. It is proportional; the charge increases in every row.

Which calculation shows that the tomato quantities are NOT proportional?

Tomato Sales
Weight (lb)	Total price ($)
2	6
4	12
6	15

A. 4 − 2 = 2 and 6 − 4 = 2.B. 12 ÷ 4 = 3 but 15 ÷ 6 = 2.5.C. 6 ÷ 2 = 3 and 12 ÷ 4 = 3.D. 12 − 6 = 6 and 6 − 2 = 4.

Does this spinach table show proportional quantities?

Spinach Sales
Weight (lb)	Total price ($)
0.5	2
1.5	6
2.25	9

A. No; the weight increases are not equal.B. Yes; any increasing price table is proportional.C. Yes; price divided by weight always equals 4.D. No; proportional tables cannot use decimal weights.

Check the Graphs

Each graph shows a proposed market pricing relationship. Check whether the connected graph is straight and passes through the origin.

What does the herb sales graph show?

A. It is proportional because any straight graph qualifies.B. It is proportional because it is straight through the origin.C. It is not proportional because the axes have different maxima.D. It is not proportional because price is greater than bunches.

The club graphs a proposed delivery charge for produce bags. Why is the relationship not proportional?

A. The straight graph does not pass through the origin.B. The graph rises as the number of bags increases.C. The charge increases by the same amount each time.D. The graph includes only even positive bag counts.

This graph starts at the origin. Is that enough to show that squash count and price are proportional?

A. Yes; increasing quantities are always proportional.B. Yes; passing through the origin is the only condition.C. No; a proportional graph must be horizontal.D. No; the connected graph must also form one straight line.

10.

The club will extend this straight graph while keeping the relationship proportional. Which additional point belongs on the extension?

A. The point (6, 4) belongs on the extension.B. The point (6, 6) belongs on the extension.C. The point (6, 2) belongs on the extension.D. The point (6, 3) belongs on the extension.

Review Market Decisions

Apply the table and graph tests to the club’s plans. Use numerical evidence for your explanation.

11.

The club charges $3 per produce basket plus one $2 packing fee per order. Which statement correctly describes total charge compared with baskets ordered?

Packed Basket Orders
Baskets	Total charge ($)
1	5
2	8
4	14

A. They are proportional because the packing fee stays fixed.B. They are proportional because each extra basket costs $3.C. They are not proportional because charge per basket changes.D. They are not proportional because the basket counts skip 3.

12.

Lena finds one price-entry error. The first and last rows are correct, and beet prices should be proportional to weight.

Beet Price Check
Weight (lb)	Recorded price ($)
1.5	6
2.5	11
4	16

What price should replace $11? $

13.

Omar says, “The first two rows have equal ratios, so the whole table is proportional.” Is his conclusion correct? Explain using the table, and state whether a graph of all three points could lie on one straight line through the origin.

Green Bean Sales
Weight (lb)	Total price ($)
1	5
2	10
3	14