Question

The number of eggs sold in a supermarket each day can be modeled by the equation y = 4500/(0.5x + 2), where x is the number of days past since Monday. On what day will 9000 eggs be sold?

a) Wednesday

b) Thursday

c) Friday

d) Saturday

Answer 1

To find out on which day 9000 eggs will be sold, set the given model y = 4500/(0.5x + 2) equal to 9000 and solve for x. After finding the value of x, relate it to the days of the week to identify the specific day.

Step-by-step explanation:

To determine on which day 9000 eggs will be sold based on the given model y = 4500/(0.5x + 2), we need to set y equal to 9000 and solve for x, where x represents the number of days since Monday.

• Set the equation equal to 9000: 9000 = 4500/(0.5x + 2).
• Solve for x: 9000(0.5x + 2) = 4500.
• Multiply both sides by (0.5x + 2): 9000 * 0.5x + 9000 * 2 = 4500.
• Divide by 0.5x and subtract 18000 from both sides to isolate x: x = (4500 - 18000) / (0.5 * 9000).
• The solution x represents the number of days since Monday when 9000 eggs will be sold.

Once you find the value of x, you then relate it to the days of the week to determine the specific day on which 9000 eggs will be sold (a) Wednesday, (b) Thursday, (c) Friday, or (d) Saturday.