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What does it mean when two quantities are proportional?
Their ratios are equal every time.
Are 2:5 and 6:15 equivalent?
Yes. Multiply both parts of 2:5 by 3.
Complete the ratio: 3:7 = 12:___.
28. Multiply both parts by 4.
Simplify the ratio 8:12.
2:3. Divide both parts by 4.
A table has x-values 2 4 and 5 and y-values 8 16 and 20. Is the relationship proportional?
Yes. Each y-value divided by its x-value equals 4.
A table has x-values 3 5 and 6 and y-values 15 25 and 31. Is the relationship proportional?
No. The ratios are not all equal.
Sophie uses 6 cans of cat food in 3 days. How many cans does she use each day?
2 cans. 6 ÷ 3 = 2.
Sophie uses 2 cans each day. How many cans does she use in 12 days?
24 cans. 2 × 12 = 24.
A bookshelf has 135 books on 3 shelves. How many books are on each shelf if the books are shared equally?
45 books. 135 ÷ 3 = 45.
A bookshelf has 45 books on each shelf. How many books are on 8 shelves?
360 books. 45 × 8 = 360.
A table has x-values 2 4 and 6 and y-values 10 20 and 30. Is the relationship proportional?
Yes. Each y-value divided by its x-value equals 5.
Are 2:3 and 4:9 equivalent?
No. Multiply both parts of 2:3 by 2 to get 4:6.
A square has a side length of 2 cm and an area of 4 cm². Another square has a side length of 4 cm and an area of 16 cm². Is area proportional to side length?
No. The area-to-side ratios are 2 and 4. They are not equal.
A table has x-values 3 5 and 7 and y-values 12 20 and 28. What number is each x-value multiplied by to get y?
4. Each y-value divided by its x-value equals 4.
