Answer:
Explanation:
The system of inequalities can be written as follows:
x ≥ 14
x + y ≥ 15
0.5x + 0.1y ≤ 1
We can graph the system by plotting the three lines representing the three inequalities.
The first inequality, x ≥ 14, is a vertical line with x-intercept at (14, 0).
The second inequality, x + y ≥ 15, is a line with a slope of 1, passing through the point (0, 15) and with y-intercept at (0, 15).
The third inequality, 0.5x + 0.1y ≤ 1, is a line with a slope of -5, passing through the point (2, 0.2) and with y-intercept at (0, 0.2).
The solution to the system of inequalities is the region below the line representing the first inequality, above the line representing the second inequality, and to the right of the line representing the third inequality.
One possible solution is x = 16 and y = 1. This means that Taylor has 16 nickels and 1 dime, which is exactly 15 coins worth a maximum of $1 combined.