Algebra 1 Question

Question

Nicole and Adam are each saving money for a car. The total amount of money Nicole will save is represented by the function f (x) = 36 + 4x . The total amount of money Adam will save is given by the function g (x) = x2 + 15. After how many weeks, x, will they have the same amount of money saved? Explain how you arrived at your answer.

Answer 1

Step 1: Set functions equal to each other.    36+4x = x²+15.

Step 2: Move everything to one side.           0= x²-4x-21

Step 3: Factor.                                           0= (x+3)(x-7)

Step 4: Simplify.                                        x= (-7,3)

 your answer is 3 weeks because you cannot have a negative number of weeks. If you would like a more detailed explanation you can pay for an hour of my online tutoring and I would be more than happy to explain functions for you.