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Edmentum Algebra2 Unit1 Activity
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Melissa is planning a rectangular vegetable garden with a square patch for tomatoes. She wants the length of the garden to exceed three times the length of the tomato patch by 2 feet. She also wants the garden’s width to exceed the width of the tomato patch by 5 feet.
Let x represent the length, in feet, of the square tomato patch.
Write expressions to represent the length and width of Melissa’s vegetable garden in terms of x.
Write an expression to represent the perimeter of Melissa’s garden in terms of x.
If the area of the vegetable garden is 170 square feet, which equation could be use to find the length of the tomato patch?
Melissa wants to make a table representing the area of her vegetable garden for a variety of different lengths of the tomato patch. She uses her area expression to create the table.
Complete the table by typing the correct answer in each box. Use numerals instead of words. Do not round your decimal answers.
Length of Tomato Patch
(in feet) Area of Vegetable Garden
(in square feet)
Melissa reserves another rectangular patch in her vegetable garden for growing bell peppers. Since the space that she can reserve for a rectangular bell pepper patch depends on how large she makes the tomato patch, she uses function p to represent the area of the bell pepper patch, where x is the length of the tomato patch.
Function p is a
quadratic
function.
When the length of the tomato patch is 8 feet, the area of the bell pepper patch is
16
square feet.
The maximum possible area of the bell pepper patch is
18
square feet when the length of the tomato patch is
6
feet.
Match the real-world descriptions with the features they represent within the context of Melissa’s garden. Not all tiles will be used.
What are the domain and range of function p within the context of Melissa’s garden?
Let x represent the length, in feet, of the square tomato patch.
Write expressions to represent the length and width of Melissa’s vegetable garden in terms of x.
Write an expression to represent the perimeter of Melissa’s garden in terms of x.
If the area of the vegetable garden is 170 square feet, which equation could be use to find the length of the tomato patch?
Melissa wants to make a table representing the area of her vegetable garden for a variety of different lengths of the tomato patch. She uses her area expression to create the table.
Complete the table by typing the correct answer in each box. Use numerals instead of words. Do not round your decimal answers.
Length of Tomato Patch
(in feet) Area of Vegetable Garden
(in square feet)
Melissa reserves another rectangular patch in her vegetable garden for growing bell peppers. Since the space that she can reserve for a rectangular bell pepper patch depends on how large she makes the tomato patch, she uses function p to represent the area of the bell pepper patch, where x is the length of the tomato patch.
Function p is a
quadratic
function.
When the length of the tomato patch is 8 feet, the area of the bell pepper patch is
16
square feet.
The maximum possible area of the bell pepper patch is
18
square feet when the length of the tomato patch is
6
feet.
Match the real-world descriptions with the features they represent within the context of Melissa’s garden. Not all tiles will be used.
What are the domain and range of function p within the context of Melissa’s garden?
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