n 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 7th graders,
put full explanation and all equations in 7th graders words.

summarize it to 2 sentences.

In my journal, I discovered that the rate of proportionality for calculating the cost of apples was too high. To reduce this rate, one can either decrease the number of apples or find a lower price per apple to make the cost more reasonable for 7th graders.

Explanation:

In my investigation, I found that the rate at which the cost of apples increased was too high, making it too expensive for 7th graders. The rate of proportionality is the amount by which one variable increases or decreases in relation to another variable. In this case, the cost of apples (dependent variable) increased too quickly in comparison to the number of apples purchased (independent variable).

To reduce the rate of proportionality, we can either decrease the number of apples being bought or find a lower price per apple. For example, if a student were buying 5 apples at $1 each, the total cost would be $5. However, if the rate of $1 per apple is too high, they could either buy fewer apples or look for a better deal, such as finding apples at $0.50 each. By doing so, they would decrease the rate at which the cost increases, making it more affordable for them.

Therefore, reducing the rate of proportionality allows 7th graders to have a better understanding of how changes in one variable affect the other variable. It gives them the opportunity to make adjustments in their calculations and decisions, ensuring affordability and practicality.

If you identified a rate of proportionality that was too low, it means that the relationship between the two variables is growing more slowly than expected. To increase the rate of proportionality, you can multiply the independent variable by a larger number or divide the dependent variable by a smaller number. On the other hand, if the rate of proportionality is too high, it means that the relationship between the variables is growing more quickly than expected. To reduce the rate of proportionality, you can divide the independent variable by a larger number or multiply the dependent variable by a smaller number.

If you identify a rate of proportionality that is too low, it means that the value is increasing too slowly compared to the other variable. To increase the rate of proportionality, you can either add more of the other variable or multiply it by a bigger number. On the other hand, if the rate is too high, it means that the value is increasing too quickly. To reduce the rate of proportionality, you can either add less of the other variable or multiply it by a smaller number.

In simpler terms, if something is increasing too slowly, you can make it increase faster by adding more or multiplying by a bigger number. If something is increasing too quickly, you can make it increase slower by adding less or multiplying by a smaller number.