Final answer:
Option 1 and Option 2 both correctly state the equations for Chad and Alison's purchases. Option 3 also accurately presents rearranged versions of these equations, with Option 4 being incorrect. The correct equations representing the total amount Chad and Alison spent are Chad's equation: 9 + 5x = 64, and Alison's equation: 4 + 6y = 76.
Step-by-step explanation:
The student's question involves writing equations to represent the total amount of money spent by two individuals, Chad and Alison, given the base price of their initial purchases and the unit price of additional items they bought. To determine the appropriate equations, one must consider the total amount spent and how it is affected by the number of items purchased at a consistent price per item.
For Chad, the equation must account for the flat cost of the pack of white shirts he buys and the cost of the graphic shirts. The correct equation would take the base cost of the white shirts, then add the product of the number of graphic shirts purchased and their unknown price (x). Therefore, the equation for Chad would be 9 + 5x = 64.
Similarly, for Alison, the equation represents the initial cost of the 'Thank You' cards plus the cost of multiple pairs of leggings at an unknown price (y). Alison's equation would be 4 + 6y = 76.
Reviewing the provided options, Option 1 and Option 2 are structurally the same, and both correctly represent the situation. Option 3 is a rearrangement of the proper equations and is also accurate. Option 4, however, incorrectly uses subtraction, suggesting that the price of the shirts and leggings reduces the total amount spent, which is not consistent with the scenario.