1. A community garden is being planned in the town-owned field behind the housing development where...

 

Transcribed Image Text:

1. A community garden is being planned in the town-owned field behind the housing development where you live. The rectangular garden will border the development and extend into the field. Each household that joins the project will have a rectangular plot that is 20 feet wide. The town has already permitted the plots to extend 10 feet into the field, and promised another foot for every household that reserves a plot. a. Write an equation that gives the area A (in square feet) of the community garden as a function of the number x of households that reserve a plot. b. The housing association decides that the entire area of the garden cannot exceed 4000 square feet. What is the maximum number of plots there can be? Explain. c. The maximum number of plots is used. One of the residents decides to plant a uniform border of wildflowers around all four sides of her plot. She has enough wildflower seeds to cover 111 square feet. How wide should the border be? Explain. 20x ft Garden Field (x + 10) ft 1. A community garden is being planned in the town-owned field behind the housing development where you live. The rectangular garden will border the development and extend into the field. Each household that joins the project will have a rectangular plot that is 20 feet wide. The town has already permitted the plots to extend 10 feet into the field, and promised another foot for every household that reserves a plot. a. Write an equation that gives the area A (in square feet) of the community garden as a function of the number x of households that reserve a plot. b. The housing association decides that the entire area of the garden cannot exceed 4000 square feet. What is the maximum number of plots there can be? Explain. c. The maximum number of plots is used. One of the residents decides to plant a uniform border of wildflowers around all four sides of her plot. She has enough wildflower seeds to cover 111 square feet. How wide should the border be? Explain. 20x ft Garden Field (x + 10) ft