Question

For each description, decide whether it matches Diagram A, Diagram B, or neither. An increase by 1/4​ An increase by 1/3​ A decrease by 1/5​ A decrease by 1/4​

Answer 1

Answer:An increase by 1/4

Explanation:

An increase by 1/4: This description matches Diagram B, where the y-value increases from 1 to 1.25.

An increase by 1/3: This description does not match either diagram. Diagram A shows a decrease, and Diagram B shows an increase by less than 1/3.

A decrease by 1/5: This description does not match either diagram. Diagram A shows a decrease, but by more than 1/5. Diagram B shows an increase.

A decrease by 1/4: This description does not match either diagram. Diagram A shows a decrease, but by less than 1/4. Diagram B shows an increase.

Therefore, the only description that matches Diagram B is "An increase by 1/4."

Answer 2

Diagram A matches the description of an increase by 1/4. Diagram B does not exactly match any of the given descriptions.

Let's analyze each description in relation to Diagram A and Diagram B:

An increase by 1/4:

- Diagram A: It has four boxes together with dots inside the box, with all four boxes shaded. An increase by 1/4 means making each box 1/4 larger. Since all four boxes are shaded, an increase by 1/4 would involve increasing the size of each shaded box by 1/4. This matches Diagram A.

- Diagram B: It has five boxes, and the increase by 1/4 would involve making each box 1/4 larger. However, the last box is unshaded, so it does not match the description exactly.

An increase by 1/3:

- Neither Diagram A nor Diagram B explicitly matches the description of an increase by 1/3.

A decrease by 1/5:

- Neither Diagram A nor Diagram B explicitly matches the description of a decrease by 1/5.

A decrease by 1/4:

- Diagram A: It has four boxes together with dots inside, all four boxes shaded. A decrease by 1/4 would involve making each box 1/4 smaller. Since all four boxes are shaded, this does not match the description exactly.

- Diagram B: It has five boxes together, and the last box is unshaded. A decrease by 1/4 would involve making each box 1/4 smaller, and it does not match the description exactly.