Explanation:
To find the largest and smallest values for y, we need to consider the values on the cards and how they can be arranged. Let's start with the largest value for y. a) The largest value for y: To find the largest value for y, we need to consider that y will be at its maximum when we have the largest values for the cards in the equation. We have the cards: 10, 20, 50, 80. To maximize y, we should place the largest values in the equation. So, we can place the card with 80 in one space and the card with 50 in the other space. Equation: 80 + 50 = y Simplifying the equation, we get: 130 = y Therefore, the largest value for y is 130. b) The smallest value for y: To find the smallest value for y, we need to consider that y will be at its minimum when we have the smallest values for the cards in the equation. We have the cards: 10, 20, 50, 80. To minimize y, we should place the smallest values in the equation. So, we can place the card with 10 in one space and the card with 20 in the other space. Equation: 10 + 20 = y Simplifying the equation, we get: 30 = y Therefore, the smallest value for y is 30. So, by placing the card with 80 and 50 in the equation, we get the largest value for y, which is 130. On the other hand, by placing the card with 10 and 20 in the equation, we get the smallest value for y, which is 30.