Easter Algebra: Exploring Slope & Distributive Property

1. During Easter, a bunny hops along a straight path. If the bunny starts at the point (0, 2) and hops with a slope of 3, what is the equation of the line representing the bunny's path?

• y = 3x + 2

• y = x + 2

• y = 2x + 3

• y = 3x - 2

3. An Easter egg hunt is planned in a park. If the number of eggs found increases by 4 for every additional participant, and there are 10 participants, how many eggs will be found? Write an equation using the distributive property to express this.

• 30

• 50

• 40

• 20

4. A chocolate factory produces 50 chocolate bunnies per hour. If the factory operates for 'h' hours, express the total number of bunnies produced as an equation. What is the slope in this scenario?

• Total Bunnies = 25 * h; Slope = 25

• Total Bunnies = 50 * h; Slope = 50

• Total Bunnies = 100 * h; Slope = 100

• Total Bunnies = 50 + h; Slope = 1

5. If a basket of eggs costs $12 and each egg costs $2, write an equation to represent the total cost of 'e' eggs. Use the distributive property to simplify your equation.

• total_cost = e/2

• total_cost = 2 + e

• total_cost = 2e

• total_cost = 12e

6. A group of friends is decorating Easter eggs. If each friend decorates 3 eggs and there are 'f' friends, write an equation to represent the total number of eggs decorated. What is the slope of this equation?

• The slope of the equation is 6.

• The slope of the equation is 3.

• The slope of the equation is 0.

• The slope of the equation is 1.

7. The Easter Bunny delivers baskets to houses in a neighborhood. If he delivers 2 baskets to each house and there are 'h' houses, write an equation to represent the total number of baskets delivered. How does this relate to slope?

• total_baskets = h + 2

• total_baskets = h * 2 + 1

• total_baskets = 2 + h

• total_baskets = 2 * h

8. A local bakery sells cupcakes for $3 each. If they sell 'c' cupcakes, write an equation for the total sales. Use the distributive property to express the total sales if they sell 10 cupcakes.

• total_sales = 15

• total_sales = 30

• total_sales = 20

• total_sales = 25

9. During an Easter event, the number of participants increases by 5 each hour. If the event starts with 20 participants, write an equation to represent the total number of participants after 't' hours. What is the slope?

• P(t) = 15 + 5t; Slope = 5

• P(t) = 20 + 5t; Slope = 5

• P(t) = 20 + 10t; Slope = 10

• P(t) = 20 + 3t; Slope = 3

10. A family is painting Easter eggs. If they start with 12 eggs and paint 2 more eggs each hour, write an equation to represent the total number of eggs painted after 'h' hours. How does the distributive property apply here?

• Total Eggs = 2h - 12

• Total Eggs = 12 * h + 2

• Total Eggs = 12 + 2h

• Total Eggs = 12 - 2h