Answer:
The smallest possible value of k is 656
Explanation:
The given width of the Eiffel Tower, w₁ = 328 feet
The given height of the Eiffel Tower, h₁ = 984 feet
The width of the space Maria can use on the shirt, w₂ = 0.75 feet
The height of the space she can use on the shirt, h₂ = 1.5 feet
We get;
The ratio of height to width of the Eiffel Tower = h₁/w₁ = 984/328 = 3
The height to width ratio of the space on the shirt = h₂/w₂ = 1.5/0.75 = 2
Therefore, that the aspect ratio of the space on the T-shirt is wider than the Eiffel Tower, the height of the space on the T-shirt is the limiting dimension of the scaled picture of the Eiffel Tower
Therefore, the scale factor, k = The ratio of the actual height of the Eiffel Tower, to the height of the space on the T-shirt
Where 'k' represent the integer value to shrink the Eiffel Tower and fit it on the T-shirt, and 'k' is the smallest ratios of the dimensions of width or height of the tower to the dimensions of the width or height of the space available on the shirt, given that the height to width ratio of the area on the shirt is smaller than that of the Eiffel Tower
Mathematically
k = h₁/h₂
∴ k = 984/1.5 = 656
The scale factor of the height of the Eiffel Tower to the height of the space available on the T-shirt, k = The smallest possible value of k = 656.