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Tim, I honestly tried to answer the logic behind the equations, but could not, could you take a look at this and add those steps to the question.
Mr. Tim, I honestly tried to answer the logic behind the equations, but could not, could you take a look at this and add those steps to the question.a. Refer back to Week One and use the names and ages of yourself and the other two people you selected in this week’s discussion. b. How many years older was the person older than you when you were born? c. Write an equation that models how old in years each of you will be, when your ages add up to 150 years old. For example, if the eldest person was one year older than you, then the equation would be: x + (x+1) (eldest person) = 150. Comment: The question is a little vague, do they mean the sum of all three people or just you and the older person (as the example shows)? I am going to take the question to mean the sum you and the older person since that makes logical sense from the example and part b. If I am x years old and the older person is 5 years older than me then the equation is x+(x+5)=150. d. Explain the reasoning which helped you develop your equation. Hint: Following from what I just said, if I am x years old then the older person is x+5 years old. Etc. e. Solve for your future ages. Are your answers reasonable, do they add up to 150? Hint: I got in my example x+(x+5)=150. Solve for x and figure out my age and the older persons age. Then check by adding. See examples 7-11 and 7-12 for examples of solving equations. f. In years, how old were you when the youngest person was born? g. Write an equation which models how old, in years, you will be when you are 3 times as old as the younger person. Comment: This is a very confusing question for most people so let me explain. What the question is really saying is “there is a time in the past or in the future when your age at that time will be exactly 3 times the younger person’s age at that time. Find those ages.” So for example I was 42 when my son was born. When I am 63 my son will be 21 and I will be exactly 3 times his age. Suppose you are 10 years older then the younger person. Then if x=younger person’s age, x+10 is your age and (x+10) should equal 3x. (You might have noticed this question is similar to part C, the difference is that here we are concerned with the ratio rather than the sum.) h. Explain the reasoning which helped you develop your equation. i. Solve for your ages, when you are 3 times as old. Are your answers reasonable? Solve the equation you got in part g and check. There may be rounding errors since often you can’t hit exactly 3 times but that’s OK."
