20points A rectangle measuring 5 cm by 3 cm
is scaled up to create an image with
side lengths of 7.5 cm and 4.5 cm.
How do the areas of the
two similar figures compare?

a) The area of the image is 1.5 times larger.

b) The area of the image is 2.25 times larger.

c) They have the same area because
they are similar figures.

d) none of the above

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.