Final answer:
To find the length of the smaller bin represented by x, we multiply the larger bin's length of 14 inches by the scale factor of 0.75, resulting in 10.5 inches. Therefore, the correct answer is A. 10.5 in.
Step-by-step explanation:
The question asks us to find the dimensions of a smaller recycling bin by applying a scale factor to the dimensions of a larger bin. The larger bin's dimensions are given as a product of a certain length x and a scale factor. We're given that the scale factor is 0.75 and the original (larger bin) dimensions are 14 in x 10 in x 7 in. To find the dimension represented by x for the smaller bin, we multiply each dimension of the larger bin by 0.75.
Scale factor calculation:
- Larger bin length: 14 inches
- Smaller bin length: 14 inches × 0.75 = 10.5 inches
Thus, the length of x for the smaller recycling bin is 10.5 inches, which corresponds to option A.