Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set
on a number line.
-Greg is opening a car wash. He estimates his cost equation as C = 5000 + 0.05x and his revenue equation as R = 1.95x, where x is the number of cars washed in a six-month period. Find the number of cars that must be washed in a six-month period for Greg to make a profit.
A) At least 2632 cars
B) At least 264 cars
C) At least 26,316 cars
D) At least 1632 cars

Question

Quizplus · Accepted Answer

To find the number of cars that must be washed for Greg to make a profit, we set the revenue greater than the cost: $1.95x > 5000 + 0.05x$. Solving for $x$, we subtract $0.05x$ from both sides to get $1.9x > 5000$, and then divide by $1.9$ to find $x > \frac{5000}{1.9}$, which calculates to $x > 2631.578$. Therefore, Greg must wash at least 2632 cars to make a profit.

Solve the Linear Inequality