Question

Jorge draws a rectangle measuring 3 ft. by 2 ft. Then, he dilates the rectangle so it is 7.5 ft. by 5 ft. If x represents the area of the original rectangle, which expression can he use to discover the area of the dilated rectangle?(1 point)
Responses

x(1.5)2
x left parenthesis 1.5 right parenthesis squared

x(2.5)
x left parenthesis 2.5 right parenthesis

x+(2.5)2
x plus left parenthesis 2.5 right parenthesis squared

x(2.5)2
x left parenthesis 2.5 right parenthesis squared

Answer 1

x(2.5)^2

Reason: the linear scale factor is 7.5/3 = 2.5 (or 5/2 = 2.5), and area scales by the square of the linear scale factor, so new area = x*(2.5)^2.