In your journal, you identified a rate of proportionality that was too low or too high. You explained how a person could increase or reduce a rate of proportionality. Use the information provided to complete the discussion.

Use examples that are relatable to 67h graders,
put full explanation and all equations in 7th graders words.

1 answer

In my journal, I identified a rate of proportionality that was too low or too high. Let's take the example of a lemonade stand. Imagine you have a lemonade stand, and you sell cups of lemonade for $1 each. But for every cup of lemonade you sell, you only make 25 cents in profit. In this case, the rate of proportionality is too low.

To increase the rate of proportionality, which means getting more profit for each cup of lemonade sold, you can either increase the selling price of the lemonade or decrease the cost of making each cup.

For example, if you decide to increase the selling price of each cup to $2, and the cost of making each cup remains the same at 25 cents, then your profit per cup would become $1.75. This would be a higher rate of proportionality, as now you are making more profit for each cup of lemonade sold.

The equation to calculate the profit P can be written as:
P = Selling Price - Cost Price
In this case, if we substitute the values, P = $2 - $0.25, which gives us P = $1.75.

To reduce the rate of proportionality, which means less profit per cup of lemonade sold, you can do the opposite. You can either decrease the selling price or increase the cost of making each cup.

For example, if you decide to decrease the selling price of each cup to 50 cents, and the cost of making each cup remains the same at 25 cents, then your profit per cup would become 25 cents. This would be a lower rate of proportionality, as now you are making less profit for each cup of lemonade sold.

Again, using the same equation, P = Selling Price - Cost Price, we substitute the values to get P = $0.50 - $0.25, which gives us P = $0.25.

In summary, to increase the rate of proportionality, you can either increase the selling price or decrease the cost of making each cup. To reduce the rate of proportionality, you can do the opposite by decreasing the selling price or increasing the cost of making each cup.