Can someone help me with this. I have no clue where to start.
Thanks, Rachel
Given: 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?
Task:
A. You can estimate the answer by considering hypothetical orders and comparing the discounts 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 Company B would give.
2. Specify the $50 range that the answer could be within.
3. Explain how you used your table to determine this.
B. Determine algebraically the actual price at which Company B offers you the same discount as Company A. Make sure to show all relevant work.
C. Determine the actual price at which Company B will give you a greater discount than Company A.
1. Explain how you reached this conclusion.
Thanks, Rachel
Given: 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?
Task:
A. You can estimate the answer by considering hypothetical orders and comparing the discounts 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 Company B would give.
2. Specify the $50 range that the answer could be within.
3. Explain how you used your table to determine this.
B. Determine algebraically the actual price at which Company B offers you the same discount as Company A. Make sure to show all relevant work.
C. Determine the actual price at which Company B will give you a greater discount than Company A.
1. Explain how you reached this conclusion.
