Question

Diego works at a scooter dealership that sells two scooter models: a $5,000 standard model and a $7,000 racing model. Last month, his goal was to sell at least 36 scooters. If he meets his goal, he will earn over $250,000. Write a system of inequalities for x, the number of standard model scooters, and y the number of racing model scooters. How many scooters does he need to sell to meet his goal?

Answer 1

To write a system of inequalities for x, the number of standard model scooters, and y, the number of racing model scooters, we need to consider the conditions given in the problem. The goal is to sell at least 36 scooters and earn over $250,000.

Step-by-step explanation:

To write a system of inequalities for x, the number of standard model scooters, and y, the number of racing model scooters, we need to consider the conditions given in the problem. The goal is to sell at least 36 scooters and earn over $250,000. Let's define the variables as follows:

x = number of standard model scooters sold

y = number of racing model scooters sold

The inequalities can be written as:

• x + y ≥ 36 (since the total number of scooters sold must be at least 36)
• 5000x + 7000y ≥ 250000 (since the total earnings must be over $250,000)

These two inequalities represent the system of inequalities for x and y. To find out how many scooters Diego needs to sell to meet his goal, we can graph these inequalities and determine the feasible region. The solution will be any point within or on the boundary of the feasible region that satisfies both inequalities.