Question 1005806
revenue = price per car * number of cars.


let r = revenue
let p = price per car
let c = number of cars.


you want revenue to be greater than 500.


the inequality would be:


r > 500


since you already generate 350 dollars in revenue, then subtract that from 500 to get how much more revenue you need.


you get:


r > 150


you need to generate additional revenue greater than 150.


since r = p * c, you can replace r in this inequality with p * c to get:


p * c > 150


since p is the price per car which is equal to 3.50, you can replace p with 3.50 to get:


3.50 * c > 150


solve for c to get c > 150 / 3.50 which becomes:


c > 42.85714286


since the number of cars has to be an integer, you get:


c >= 43.


if the number of additional cars is 43 or more, you will make more than 150 in additional revenue.


42 * 3.50 = 147 which is less than 150.
43 * 3.50 = 150.5 which is greater than 150.


the formula holds true.


your inequality is 3.50 * c > 150.