Answer:
7 shirts
Step-by-step explanation:
The function for producing shirts is
f($) = 50 + 7.5(x), where x is the number of shirt
The function for selling shirts is
f($) = 15(x)
For there to be a profit, he must make more money selling the shirts than he spent on making the shirts
Therefore, 15(x) > 50 + 7.5(x)
15x > 50 + 7.5x
15x - 7.5x > 50
7.5x > 50
x > 6.67 shirts
To make a profit, Juan must sell at least 7 shirts
This is a "rate of pay" problem. The amount earned is equal to the (rate of pay) times the (number of hours worked).
Let the income be represented by "i". Then the formula is i = ($10.91/hour)*w, where w is the number of hours worked and has the unit of measurement "hours."
5x - 20 = 8x - 65
-20 = 3x - 65
3x = 45
x = 15
Use x to represent “a number”
1x=10-2x