Answer: The required minimum number of sales that we should make is 25.
Step-by-step explanation: Given that as a salesman, we are are paid $50 per week plus $2 per sale. This week we want your pay to be at least $100.
We are to find the number of sales that we must make to earn at least $100.
Let n represents the required number of sales that we should make.
Then, according to the given information, we have
![50+2x\geq100\\\\\Rightarrow 2x\geq 100-50\\\\\Rightarrow 2x\geq 50\\\\\Rightarrow x\geq\dfrac{50}{2}\\\\\Rightarrow x\geq 25.](https://tex.z-dn.net/?f=50%2B2x%5Cgeq100%5C%5C%5C%5C%5CRightarrow%202x%5Cgeq%20100-50%5C%5C%5C%5C%5CRightarrow%202x%5Cgeq%2050%5C%5C%5C%5C%5CRightarrow%20x%5Cgeq%5Cdfrac%7B50%7D%7B2%7D%5C%5C%5C%5C%5CRightarrow%20x%5Cgeq%2025.)
Thus, the required minimum number of sales that we should make is 25.