Question

preimage image scale factor = 1/8 lina’s work 24 x 32 = 768 768 x 1/8 = 96 24 in 32 in lina says the area of the image is 96 in². do you agree? why or why not? ∘ i agree. lina correctly found the area of the preimage and applied the scale factor twice. ∘ i disagree. lina correctly found the area of the preimage but only applied the scale factor once. ∘ i disagree. lina made an error when calculating the area of the preimage. ∘ i disagree. lina used the wrong formula when calculating the area of the preimage.

Explanation:

When scaling a figure, the area scale factor is the square of the linear scale factor. The linear scale factor is $\frac{1}{8}$, so the area scale factor is $(\frac{1}{8})^2=\frac{1}{64}$. Lina used the linear scale factor ($\frac{1}{8}$) once instead of squaring it, so her calculation for the image's area is wrong.

Answer:

I disagree. Lina correctly found the area of the preimage but only applied the scale factor once.