Final answer:
In order to earn at least $350 a week, Xander needs to detail a certain number of cars. By solving the given inequality, we can determine the minimum number of cars.
Step-by-step explanation:
In order to earn at least $350 a week, Xander must determine how many cars he needs to detail. Let's represent the number of cars he needs to detail as 'x'.
Xander receives $200 a week as a base salary. In addition, he earns $10 for every car he details. Therefore, the total income he earns in a week can be represented as:
Income = $200 + ($10 * x)
We want to find the minimum number of cars Xander needs to detail to earn at least $350. This can be represented as:
$200 + ($10 * x) ≥ $350
By solving this inequality, we can find the minimum number of cars Xander needs to detail in a week.