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Math·Advanced Math·Nonlinear functions

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Maya is enlarging the area of a photograph that measures 7 centimeters by 5 centimeters. The resulting area, in square centimeters, of the photograph is given by the function $S(x)=(7x)(5x)$, where $x$ represents the scale factor used to increase both the length and width of the photograph. Which statement is the best interpretation of $S(3)=315$?

A

When the scale factor used to enlarge the photograph is 3, the resulting area is 7 square centimeters.

B

When the scale factor used to enlarge the photograph is 15, the resulting area is 35 square centimeters.

C

When the scale factor used to enlarge the photograph is 3, the resulting area is 315 square centimeters.

D

When the scale factor used to enlarge the photograph is 315, the resulting area is 3 square centimeters.