Aclothing company wants to print the face of the statue of liberty on a t-shirt. the length of the face from the top of the forehead to the chin is 17 feet, and the width of the face is 10 feet. given that a medium-sized t-shirt has a length of 29 inches and a width of 20 inches, what dimensions of the face are needed to produce a scaled version that will fit on the t-shirt?
a. what shape would you use to model the face of the statue?
b. knowing that the maximum width of the t-shirt is 20 inches, what scale factor is needed to make the width of the face fit on the shirt?
c. what scale factor should be used to scale the length of the face? explain.
d. using the scale factor identified in part (c), what is the scaled length of the face? will it fit on the shirt?
e. identify the scale factor you would use to ensure that the face of the statue was in proportion and would fit on the t-shirt. identify the dimensions of the face that will be printed on the shirt.
f. the t-shirt company wants the width of the face to be no smaller than 10 inches. what scale factors could be used to create a scaled version of the face that meets this requirement?
g. if it costs the company $0.005 for each square inch of print on a shirt, what are the maximum and minimum costs for printing the face of the statue of liberty on one t-shirt?