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)

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Answer 1

To find the scale factor that Bobby used to enlarge his artwork, you can compare the dimensions of the original artwork to the dimensions of the enlarged artwork.

The dimensions of the original artwork are 2.25 inches by 2 inches, and the dimensions of the enlarged artwork are 3.15 inches by 2.8 inches.

To find the scale factor, you can calculate it for each dimension separately:

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

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

Now, calculate each:

1. Scale factor (width): \[ \frac{3.15}{2.25} \approx 1.4 \]

2. Scale factor (height): \[ \frac{2.8}{2} = 1.4 \]

Both dimensions yield the same scale factor.

Thus, the scale factor Bobby used to create the copy of the original artwork is 1.4.