To determine how much it would cost to buy 3 bags of popcorn when 7 bags cost \[tex]$17.57, we follow these steps:
1. Calculate the price per bag:
- We know the total price for 7 bags is \$[/tex]17.57.
- To find the price for one bag, we divide the total price by the number of bags:
[tex]\[
\text{Price per bag} = \frac{\$17.57}{7}
\][/tex]
This gives us approximately \[tex]$2.510 per bag.
2. Calculate the total cost for 3 bags:
- Now that we know the price per bag, we can find the cost for 3 bags.
- We multiply the price per bag by the number of bags we want to buy:
\[
\text{Total cost} = \text{Price per bag} \times 3
\]
\[
\text{Total cost} = 2.510 \times 3
\]
This gives us approximately \$[/tex]7.530 for 3 bags.
Therefore, the total cost for buying 3 bags of popcorn would be approximately \$7.53.