Answer:
y = (0.50x + 7.50) / (x + 6)
Explanation:
To model the situation described, you can create an equation that calculates the average cost of the beads.
Let:
x = the number of wooden beads.
y = the average cost of the beads.
Now, consider the cost of the wooden beads and the glass beads:
The cost of x wooden beads at $0.50 each is 0.50x.
The cost of 6 glass beads at $1.25 each is 6 * 1.25 = 7.50.
The total cost of all the beads is 0.50x (wooden beads) + 7.50 (glass beads).
The average cost (y) is calculated by dividing the total cost by the total number of beads (x + 6, because you have x wooden beads and 6 glass beads):
y = (0.50x + 7.50) / (x + 6)
So, the equation that models the situation is:
y = (0.50x + 7.50) / (x + 6)
This equation represents the average cost of the beads based on the number of wooden and glass beads Teo has.