Final answer:
The expressions 0.82, 0.82x, 1.18x, and 1.10x correspond to the scenarios of a discounted game price, remaining water volume (with a possible typo), increased toy price, and total flour amount after receiving new stock, respectively.
Step-by-step explanation:
To match each expression to the scenario it represents, we need to apply basic concepts of percentage increase and decrease. Each expression can be matched as follows:
- 0.82x - This represents the volume of water remaining in a tank after 10% of its original volume (x) is drained out, because the tank retains 100% - 10% = 90% of its volume, and 90% in decimal form is 0.9 (but since the expression is 0.82x, there might be a typo, and it should be 0.90x).
- 1.18x - This is the price of a toy that sells for 18% more than the amount (x) needed to build the toy, as 1 represents the original cost and 0.18 represents the additional 18%.
- 0.82 - This corresponds to the price of a game that's been discounted 18% off its list price, as only 82% of the original price remains after a 18% discount, which is represented by 0.82 when the original price is considered to be 1 (or 100%).
- 1.10x - This is the total amount of flour in a bakery after receiving new stock equal to 10% of its current stock (x), as the original stock is represented by 1x and the additional stock is 0.10x.