Proportional Vs Non Proportional Worksheet PDF | airSlate SignNow - Free Printable

1. For Mrs. Green's class, the number of students is 20 and the number of cupcakes is 10. The ratio of students to cupcakes is 20:10, which simplifies to 2:1. The equation is \( \frac{20}{10} = 2 \), so the ratio is 2:1.

2. For Mrs. Green's class, the number of cupcakes is 10 and the number of students is 20. The ratio of cupcakes to students is 10:20, which simplifies to 1:2. The equation is \( \frac{10}{20} = 0.5 \), so the ratio is 1:2.

3. The cost of the CD is $11.99, and the tax is $0.66. The total cost is $11.99 + $0.66 = $12.65. The ratio of the tax to the total cost is $0.66 : $12.65. To simplify, divide both by $0.66: \( \frac{0.66}{12.65} \approx 0.052 \), so the ratio is approximately 1:19.17.

4. The amount spent on snacks is $12, and the total amount is $50. The ratio of the amount spent on snacks to the total amount is $12 : $50, which simplifies to 6:25. The equation is \( \frac{12}{50} = 0.24 \), so the ratio is 6:25.

5. The table shows the number of cups of sugar needed for different numbers of cakes. For 1 cake, 2 cups of sugar are needed. For 2 cakes, 4 cups of sugar are needed. For 3 cakes, 6 cups of sugar are needed. The relationship is that the number of cups of sugar is twice the number of cakes. The equation is \( \text{Cups of sugar} = 2 \times \text{Number of cakes} \). This is a proportional relationship because the ratio of cups of sugar to cakes is constant (2:1).

6. The table shows the number of boxes of cereal and the corresponding number of weeks. For 1 box, 1 week is needed. For 2 boxes, 2 weeks are needed. For 3 boxes, 3 weeks are needed. The relationship is that the number of weeks is equal to the number of boxes. The equation is \( \text{Weeks} = \text{Boxes} \). This is a proportional relationship because the ratio of boxes to weeks is constant (1:1).

7. The ratio of the number of employees to the number of weeks is 10:1. The equation is \( \frac{10}{1} = 10 \). The graph should show a straight line passing through the origin with a slope of 10. The x-axis represents the number of weeks, and the y-axis represents the number of employees. For each week, 10 employees are needed. The graph should be a straight line starting from the origin (0,0) and going through points like (1,10), (2,20), etc.