Bobby draws an artwork measuring 2.25 inches by 2 inches. He makes a copy of the artwork, enlarging it so that its dimensions are now 3.15 inches by 2.8 inches. What scale factor did he use to create the copy of the original artwork? Write your answer as a decimal.(1 point) ..

Answer 1

To find the scale factor used by Bobby to enlarge his artwork, we can calculate the scale factor based on the dimensions of the original artwork and the dimensions of the enlarged artwork.

The original dimensions are:

• Width: 2.25 inches
• Height: 2 inches

The enlarged dimensions are:

• Width: 3.15 inches
• Height: 2.8 inches

We can calculate the scale factor for each dimension.

1. For the width: \[ \text{Scale Factor (Width)} = \frac{\text{Enlarged Width}}{\text{Original Width}} = \frac{3.15}{2.25} \]

Calculating that: \[ \frac{3.15}{2.25} = 1.4 \]

2. For the height: \[ \text{Scale Factor (Height)} = \frac{\text{Enlarged Height}}{\text{Original Height}} = \frac{2.8}{2} \]

Calculating that: \[ \frac{2.8}{2} = 1.4 \]

Both dimensions give us the same scale factor.

Thus, the scale factor used to create the copy of the original artwork is \(\boxed{1.4}\).