Answer the question based on the following information.
The following table presents the sweetness of different items relative to sucrose, whose sweetness is taken to be $1.00.$
| Lactose |
0.16 |
| Maltose |
0.32 |
| Glucose |
0.74 |
| Surcose |
1.00 |
| Fructose |
1.70 |
| Saccharin |
675.00 |
What is the minimum amount of sucrose (to the nearest gram) that must be added to one gram of saccharin to make a mixture that will be at least $100$ times as sweet as glucose?
- $7$
- $8$
- $9$
- $100$