Question

Alana’s wholesales sells shirts for $12 plus a delivery fee of $42. Miguel’s wholesales sells The same shirts shirts for $15 plus a $40 delivery fee. Write an equation to show a breakeven point for these two wholesalers.

(A) 12x+42=15x+40
(B) 12x−42=15x−40
(C) 12x+42=15x−40
(D) 12x−42=15x+40

Answer 1

The breakeven point for the two wholesalers is determined by setting the equation 12x + 42 = 15x + 40, which equates Alana's total cost to Miguel's total cost for x number of shirts.

Step-by-step explanation:

To find the breakeven point for two wholesalers selling shirts, we need to set up an equation where the total costs from both wholesalers are equal. This means the cost of shirts plus the delivery fee for the number of shirts (x) should be the same for Alana's wholesales and Miguel's wholesales.

The correct equation reflecting the breakeven point would be Alana's total cost equals Miguel's total cost, which is 12x + 42 = 15x + 40. This means Alana's cost for x shirts at $12 each plus a $42 delivery fee is equal to Miguel's cost for x shirts at $15 each plus a $40 delivery fee.

By solving this equation for x, we can determine how many shirts need to be sold for the total costs to be the same for Alana and Miguel.