You want to buy a pet rabbit that costs $45. You already have $11 and you plan to save $9 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each wook if you want to buy the rabbit in three weeks
Choose the correct answer below
OA 11w9-45
OB 17w-9.45
OC. 11 - 45
OD 9-17w 45
O E 9w+ 11 = 45
OF Sw-11=45

9514 1404 393

  x ≈ −2.10487278573

Step-by-step explanation:

I find a graphing calculator to be a very useful tool for the purpose. It shows the only real root is irrational and gives an approximation as x=-2.105.

The calculator also provides the means to perform Newton's method iteration easily to refine the value of the root to full calculator precision.

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The Newton's method iterator for finding the next iteration of the root (x') is ...

  x' = x - f(x)/f'(x)

Starting with the approximation shown on the graph, it only takes two iterations to get the root to the full precision of the calculator.