rebecca1588
  • rebecca1588
Is each situation a linear or a nonlinear model? A home’s value is given by the equation y = 154,000(1.04)x, where y is the value of the house and x is the number of years since the home was purchased. A. linear model B. nonlinear model
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
it is definitely not a line a line looks like \(y=mx+b\)
anonymous
  • anonymous
what you have there is an "exponential" model the variable is in the exponent
rebecca1588
  • rebecca1588
@Directrix

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Directrix
  • Directrix
Is this >> y = 154,000(1.04)x supposed to be y = 154,000(1.04)^x ?
rebecca1588
  • rebecca1588
Yeah sorry :)
Directrix
  • Directrix
It is not linear. If it were, the x would appear as x to the first power.
rebecca1588
  • rebecca1588
Okay Thanks :) I only have two more now.
Directrix
  • Directrix
The graph of this: y = 154,000(1.04)^x is not a line.
rebecca1588
  • rebecca1588
Ooh okay
Directrix
  • Directrix
Linear looks like y = 5x + 2. The big deal is that the x is not raised to a power such as 2 and the x is not an exponent.
Directrix
  • Directrix
You can always graph the function and look and see if the graph is a line.
rebecca1588
  • rebecca1588
Oh ok I think my last two might be linear then @Directrix 1. The amount of money Elijah has in his bank account is given by the equation B = 1400 + 120m, where B is the balance in his account and m is the number of months since he opened the account. 2. The number of words Sarah can type in a given amount of time is given by the equation w = 32m, where w is the number of words and m is the number of minutes she types.
rebecca1588
  • rebecca1588
1 looks like it, and maybe 2?
Directrix
  • Directrix
I agree with you that both are linear. No exponents, no powers.
rebecca1588
  • rebecca1588
Yay thanks so much for teaching how do these :)

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