To help the environment and make some extra money, Brenda takes her empty cans to the Cash Not Trash recycling shop. The shop pays cash based on the total weight of the cans Brenda brings in for recycling. There is a proportional relationship between the weight (in pounds) of the cans Brenda brings into the shop, x, and the amount (in dollars) the shop pays Brenda, y.
The equation that models this relationship is y=0.48x.
How much money would the shop pay Brenda for 35 pounds of cans? Write your answer as a whole number or decimal.
 dollars

The equation that models the relationship between the weight of the cans (in pounds) and the amount the shop pays Brenda (in dollars) is:

\[
y = 0.48x
\]

Where:
- $ y $ is the amount of money (in dollars) Brenda receives,
- $ x $ is the weight of the cans (in pounds).

To find out how much Brenda would be paid for 35 pounds of cans, we substitute $ x = 35 $ into the equation:

\[
y = 0.48 \times 35 = 16.8
\]

So, the shop would pay Brenda **$16.80** for 35 pounds of cans.

Would you like more details on how this was solved or have any questions?

Here are 5 related questions for further practice:
1. How much would Brenda be paid for 50 pounds of cans?
2. If Brenda was paid $9.60, how many pounds of cans did she bring in?
3. What is the constant rate of payment per pound of cans in cents?
4. If Brenda brought 20 pounds of cans one week and 15 pounds the next week, how much money did she make in total?
5. How much would Brenda need to recycle to earn $24?

**Tip:** When working with proportional relationships, multiplying or dividing both sides by the same number will maintain the balance, making it easier to solve problems.

To help the environment and make some extra money, Brenda takes her empty cans to the Cash Not Trash recycling shop. The shop pays cash based on the total weight of the cans Brenda brings in for recycling. There is a proportional relationship between the weight (in pounds) of the cans Brenda brings into the shop, x, and the amount (in dollars) the shop pays Brenda, y. The equation that models this relationship is y=0.48x. How much money would the shop pay Brenda for 35 pounds of cans?

Discover how to calculate the amount of money Brenda receives for recycling 35 pounds of cans using the proportional relationship equation y = 0.48x. This problem teaches concepts like linear equations and unit rates, suitable for students in Grades 6-8.

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