Final answer:
The image supports the text by showing the hard work at a cotton mill, which is indirectly sustained by sugar as a source of energy for the workers, as discussed in the passage.
Step-by-step explanation:
The image supports the text by depicting the labor-intensive work of women and girls operating machinery in a cotton mill during the 1800s, which illustrates the industrial setting and the hard work that sugar helped to sustain. While the image directly shows the manufacturing process of cotton, it also implies the critical role sugar played in providing the workers with the necessary energy to handle such labor-intensive jobs. This is in line with the caption and the passage that explain how a quick cup of tea sweetened with sugar during breaks became a staple for the overworked factory workers, with sugary treats being offered as a quick source of energy to help them get through their long shifts.