To calculate the cost of manufacturing 100 bags, we need to use the equation: 10,000 + 0.5x. By substituting x with 100, we can find the cost. So, the cost of manufacturing 100 bags would be $10,050.
Similarly, for 150 bags, we substitute x with 150 in the given expression: 10,000 + 0.5x. Consequently, the cost of manufacturing 150 bags would be $10,075.
Now, let's look at the earnings from selling a certain number of bags, which can be determined by multiplying the number of bags sold (x) by the selling price of each bag ($150). In this case, the algebraic expression for the company's earnings would be 150x.
Finally, to find the company's profit from selling 100 bags, we subtract the cost of manufacturing from the earnings. So, the profit would be (150 x 100) - (10,000 + 0.5 x 100), which equals $4,950. Similarly, for 150 bags, the profit would be (150 x 150) - (10,000 + 0.5 x 150), resulting in $12,425.
Therefore, the algebraic expression for the company's profit would be 150x - (10,000 + 0.5x).
Can you make it sound like a 7th grader wrote it
To find the cost of making 100 bags, you use this equation: 10,000 + 0.5 times the number of bags. So if we put 100 in for the number of bags, it would cost $10,050.
For 150 bags, we do the same thing. We put in 150 for the number of bags, and it would cost $10,075.
Now, to figure out how much money the company makes from selling bags, you just multiply the number of bags by the selling price ($150). So the equation for the money earned would be 150 times the number of bags (x).
To find the profit from selling 100 bags, you subtract the cost of making them from the money earned. So the profit would be ($150 times 100) minus (10,000 + 0.5 times 100), which is $4,950. For 150 bags, the profit would be ($150 times 150) minus (10,000 + 0.5 times 150), which is $12,425.
So, the equation for the company's profit would be 150 times the number of bags minus (10,000 + 0.5 times the number of bags).