A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 150 lb and each box of books weighs 40 lb. The maximum capacity of the elevator is 1140 lb. How many boxes of books can the delivery person bring up at one time?

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answer

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.