Question
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)
To find the scale factor, we need to compare the change in dimensions of the copy to the dimensions of the original artwork.
The change in width is 3.15 inches - 2.25 inches = 0.9 inches.
The change in height is 2.8 inches - 2 inches = 0.8 inches.
The scale factor is the ratio of the change in dimensions of the copy to the dimensions of the original artwork.
The scale factor = (change in width of copy) / (width of original artwork) = 0.9 inches / 2.25 inches
The scale factor = (change in height of copy) / (height of original artwork) = 0.8 inches / 2 inches
To find the overall scale factor, we can take the average of these two ratios.
Overall scale factor = (0.9/2.25 + 0.8/2) / 2 = (0.4 + 0.4) / 2 = 0.8 / 2 = 0.4
Therefore, the scale factor used to create the copy of the original artwork is 0.4.