This problem is difficult for me. I don't know where to start (percentage or discount prices). Please help me.
There are two companies that sell widgets. Both companies sell the widgets to the general public for the same price. In order to earn business, Company A offers a special 25% discount on each order. In response, Company B offers a 35% discount on every dollar the customer spends over $50. Both discounts are rounded to the nearest cent. If you place an order for $50 or less, it is less expensive to order from Company A. If you place a large enough order, it will be less expensive to order from Company B. At what price does it become less expensive to order from Company B?
You can estimate the answer by considering hypothetical orders and comparing the discount each company would provide.
1. Create and properly label a table of data demonstrating this technique. The table should include at least four hypothetical orders and should estimate the answer within a $50 range. Each row will represent a hypothetical order. The first row will represent a $50 order and each additional row will represent orders in $50 increments (i.e., $100, $150). The table should include three columns. The first column is the order amount, the second column is the discount that Company A would give, and the third column is the discount that Company B would give.
2. Specify the $50 range that the answer could be within.
3. Determine algebraically the actual price at which Company B offers you the same discount as Company A.
4. Determine the actual price at which Company B will give you a greater discount than Company A.
There are two companies that sell widgets. Both companies sell the widgets to the general public for the same price. In order to earn business, Company A offers a special 25% discount on each order. In response, Company B offers a 35% discount on every dollar the customer spends over $50. Both discounts are rounded to the nearest cent. If you place an order for $50 or less, it is less expensive to order from Company A. If you place a large enough order, it will be less expensive to order from Company B. At what price does it become less expensive to order from Company B?
You can estimate the answer by considering hypothetical orders and comparing the discount each company would provide.
1. Create and properly label a table of data demonstrating this technique. The table should include at least four hypothetical orders and should estimate the answer within a $50 range. Each row will represent a hypothetical order. The first row will represent a $50 order and each additional row will represent orders in $50 increments (i.e., $100, $150). The table should include three columns. The first column is the order amount, the second column is the discount that Company A would give, and the third column is the discount that Company B would give.
2. Specify the $50 range that the answer could be within.
3. Determine algebraically the actual price at which Company B offers you the same discount as Company A.
4. Determine the actual price at which Company B will give you a greater discount than Company A.