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. Use your function to determine how many bulbs will she plant if the garden has a side length of 8 feet?

The function that model the number of bulbs she will plant is g = 5x²

She will plant 320 bulbs in the garden

Step-by-step explanation:

∵ Cindy’s square garden has a side length of x ft

∵ Area of the square = side × side

∴ The area of the garden = x × x

∴ The area of the garden = x² ft²

∵ She will plant 5 tulip bulbs per square foot

→ That means there are 5 tulip bulbs in 1 foot²

∵ The area of the garden is x² ft²

→ Multiply the area of the garden by 5

∴ The number of tulip bulbs in the garden = 5 × x²

∴ The number of tulip bulbs in the garden = 5x²

∵ g represents the number of bulbs she will plant in her garden

∴ g = 5x²

∴ The function that model the number of bulbs she will plant is g = 5x²

∵ The garden has a side length of 8 feet

→ That means the value of x is 8 feet

∴ x = 8

→ Substitute the value of x in the function above

∴ g = 5(8)² = 5(64)

∴ g = 320

∴ She will plant 320 bulbs in the garden

33

step-by-step explanation: g=6