Final answer:
The total area of the park (A), the expression for the number of bags needed is {0.14A} / {500}, and based on the choices, option (d) 14 bags is a reasonable answer.
Step-by-step explanation:
To find the total area of the park that needs to be reseeded, you can use the percentage given. If only 14% of the total area needs to be replaced, then the remaining 86% is still covered with grass.
Let A be the total area of the park, and 0.14A be the damaged area. The area that needs to be reseeded is 0.14A. The remaining grass is 0.86A.
Now, if each bag of grass seed covers 500 square yards, you can find the total number of bags needed by dividing the damaged area by the coverage per bag:
Number of bags = Damaged Area / Coverage per Bag
Number of bags = {0.14A} / {500}
The 500 in the denominator is the coverage per bag.
Now, we know that A is the total area of the park. Without the specific value of A, we can't calculate the exact number of bags. However, we can express the answer in terms of the variables:
Number of bags = {0.14A} / {500}
This is the general expression for the number of bags needed. If you have a specific value for A, you can plug it in to get the exact number of bags.
Given the choices:
a) 7 bags
b) 10 bags
c) 12 bags
d) 14 bags
We can't determine the exact number without the value of A , but we can observe that the number of bags is proportional to 0.14A .
Therefore, the answer is likely to be one of the larger options. Based on this observation, option (d) 14 bags seems like a reasonable choice.