A garden with area of 5000 sq. feet requires 50 cubic yards of dirt. Express this information in terms of the function g

To express the relationship between the area of the garden and the amount of dirt required, we can define a function g such that g(A) = D, where A is the area in square feet and D is the amount of dirt in cubic yards. In this case, if A = 5000 sq. feet, then g(5000) = 50 cubic yards. This implies that for every 5000 sq. feet of garden area, you will need 50 cubic yards of dirt. If you want to generalize this for different garden sizes, you might find a proportionality constant. Since 50 cubic yards of dirt corresponds to 5000 sq. feet, we can say g(A) = (50/5000) * A, which simplifies to g(A) = (1/100) * A. This means for every 100 square feet of garden, you need 1 cubic yard of dirt! So, your garden ambitions can now grow with clarity!