Question

Mayerlin has xx dimes and yy nickels. She has no more than 20 coins worth no less than $1.30 combined. Solve this system of inequalities graphically and determine one possible solution.

Answer 1

To solve the system of inequalities, we graph the constraints and find the feasible region.

Step-by-step explanation:

To solve this system of inequalities graphically, we need to create a graph and plot the constraints. Let's start by defining our variables:

x = number of dimes

y = number of nickels

We are given the following information:

1) Mayerlin has xx dimes and yy nickels. This gives us the first constraint: x ≥ 0 and y ≥ 0.

2) Mayerlin has no more than 20 coins. So the second constraint is: x + y ≤ 20.

3) Mayerlin's coins are worth no less than $1.30 combined. Each dime is worth $0.10 and each nickel is worth $0.05. Therefore, the third constraint is: 0.10x + 0.05y ≥ 1.30.