Joni has a circular garden with a diameter of 14 1 2 feet. If she uses 2 teaspoons of fertilizer for every 25 square feet of garden, how much fertilizer will Joni need for her entire garden? Round to the nearest tenth.
To find the area of the circular garden, we use the formula for the area of a circle: A = πr^2, where r is the radius of the circle. Since the diameter is 14 1/2 feet, the radius is half of that, which is 7 1/4 feet.
r = 7 1/4 feet
A = π(7 1/4)^2
A = π(53.0625)
A ≈ 166.83 square feet
Now, we need to calculate how many times 25 square feet goes into the total area of the garden:
166.83 / 25 ≈ 6.67
Joni will need to use 6.67 times 2 teaspoons of fertilizer for her entire garden:
6.67 * 2 = 13.34
Therefore, Joni will need approximately 13.3 teaspoons of fertilizer for her entire garden.