To find the cost of 4 bottles of soda and 7 bottles of juice, let's break it down step by step:

1. The cost of 1 bottle of soda is $0.85.

   • The cost of 4 bottles of soda = $4 \times 0.85 = 3.40$ dollars.

2. The cost of 1 bottle of juice is $0.95.

   • The cost of 7 bottles of juice = $7 \times 0.95 = 6.65$ dollars.

3. The total cost of 4 bottles of soda and 7 bottles of juice: $3.40 + 6.65 = 10.05 \, \text{dollars}.$

Now for the general case with $x^2$ bottles of soda and $y^2$ bottles of juice:

1. The cost of $x^2$ bottles of soda: $0.85 \times x^2 = 0.85x^2.$

2. The cost of $y^2$ bottles of juice: $0.95 \times y^2 = 0.95y^2.$

3. The total cost for $x^2$ bottles of soda and $y^2$ bottles of juice: $0.85x^2 + 0.95y^2 \, \text{dollars}.$

Would you like further details or clarifications?

Here are some related questions:

1. What would the cost be for 5 bottles of soda and 10 bottles of juice?
2. How much would it cost to get 2 bottles of soda and 3 bottles of juice?
3. If the price of soda increased by 10%, how would the cost change for 4 bottles of soda?
4. How would the formula change if the price of juice were discounted by 15%?
5. How many bottles of soda can be bought for $5.00?

Tip: When calculating costs, always double-check your multiplications to ensure you account for all items!