Question

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.

Answer 1

1. 8

2. 247.25

3. 4.5

4. 276

Explanation:

To solve this problems we must consider the length and width of the Vegetable Garden.

L = 3x+2

W = x+5

1. 8

First place the area of the garden (for this question: 338) equivalent to the area of the garden equation you should have figured out in the previous question.

3x^2 + 17x + 10 = 338

Next solve for x. You will get a - and a + answer, because we are trying to find the length we will only use the + value.

3x^2 + 17x + 10 - 10 = 338 - 10

3x^2 + 17x = 328

3x^2 + 17x - 328 = 0

(Solve using quadratic formula or calculator)

x = 8

2. 247.25

First replace x with the length of the tomato patch:

3(6.5)^2 + 17(6.5) + 10

and solve.

3(6.5)^2 + 17(6.5) + 10 = 247.25

3. 4.5

Complete the same steps as number 1 but place the area 147.25 equivalent to the garden area expression.

3x^2 + 17x + 10 = 147.25

3x^2 + 17x + 10 - 10 = 147.25 - 10

3x^2 + 17x = 137.25

3x^2 + 17x - 137.25 = 0

(Solve using quadratic formula or calculator)

x = 4.5

4. 276

Complete the same steps as number 2 but replace x with 7

3(7)^2 + 17(7) + 10

and solve.

3(7)^2 + 17(7) + 10 = 276

Hope this helps!