At the local bakery, Ariel bought 2 oatmeal cookies for $1.50. Mei bought 12 dozen oatmeal cookies for $4.50. Becky bought 8 oatmeal cookies for $6.00.

Part A
Which graph represents the situation?
A. Alternative Text
B. Alternative Text
C. Alternative Text
D. Alternative Text
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Part B
Look at the graph you chose in Part A. Do the number of cookies and the cost have a proportional relationship?
Use the drop-down menus to show and explain your answer.

; the graph a straight line through the .
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Part C
What does the point (1, 0.75) represent in this situation? What does the point (0, 0) represent?
A.
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1 cookie costs $0.75; no cookies cost $0
B.
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1 cookie costs $7.50; no cookies cost $0
C.
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0.75 dozen cookies cost $1; 0 dozen cookies cost $0
D.
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1 dozen cookies cost $0.75; 0 dozen cookies cost $0

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !