Question

21 cindy’s square garden has a side length of x ft. she will plant 5 tulip bulbs per square foot. write a function g to model the number of bulbs she will plant. how many bulbs will she plant if the garden has a side length of 8 feet?

Explanation:

Step1: Find the area of the square garden

The area \( A \) of a square with side length \( x \) is given by the formula \( A = x^2 \) (since the area of a square is side length squared).

Step2: Define the function for the number of bulbs

Since she plants 5 tulip bulbs per square foot, the number of bulbs \( g(x) \) is the area times 5. So the function is \( g(x)=5x^2 \).

Step3: Calculate the number of bulbs when \( x = 8 \)

Substitute \( x = 8 \) into the function \( g(x) \). So \( g(8)=5\times(8)^2 \). First, calculate \( 8^2 = 64 \), then multiply by 5: \( 5\times64 = 320 \).

Answer:

The function is \( g(x) = 5x^2 \) and she will plant 320 bulbs when the side length is 8 feet.