you need 50 pounds of two commodities costing $1.25 and $1.26 per pound,verify that the total cost is y=1.25x+1.60(50-x),where x is the number of pounds of the less expensive commodity.

cost = rate * quantity

Since the two quantities add to 50, if one is x, the other is 50-x.

However, I fail to see the connection between 1.26 and 1.60...

To verify the given equation, we need to determine the total cost of the two commodities and see if it matches the equation y = 1.25x + 1.60(50 - x), where x is the weight in pounds of the less expensive commodity.

Let's break down the problem and solve it step by step:

1. Calculate the cost of the less expensive commodity (priced at $1.25 per pound):
Cost of less expensive commodity = 1.25 * x

2. Calculate the cost of the more expensive commodity (priced at $1.26 per pound):
Cost of more expensive commodity = 1.26 * (50 - x)

3. Add the cost of the two commodities to find the total cost:
Total cost = Cost of less expensive commodity + Cost of more expensive commodity
Total cost = 1.25x + 1.26(50 - x)

Now, let's simplify the equation and verify if it matches the given equation y = 1.25x + 1.60(50 - x):

1. Expand 1.26(50 - x):
Total cost = 1.25x + 1.26(50 - x)
Total cost = 1.25x + 63 - 1.26x

2. Simplify the equation by combining like terms:
Total cost = 1.25x - 1.26x + 63
Total cost = -0.01x + 63

The simplified equation is not the same as the given equation y = 1.25x + 1.60(50 - x). Therefore, there seems to be an error in the given equation.

Please double-check the original equation or provide more information if you need further assistance.