an equation, p=0.56+28.71, model the percentage, p, of birth outside marriage in the united states at t years since 1990 (see the table below). complete part a. thought e. below biths outside marriage year percentage of births outside marriage 1991 29.5 1995 32.2 1999 33.0 2003 34.6 2008 40.6 2012 40.7 a. rewrite the equation p=0.56t+28.71 with the function name f. b. find f(35). what does this result mean in this situation? f(35)= c. find the value of t so that f(t)=35 what does this result mean in this situation? the value of t is ? so that f(t)=35 d. according to the model, in what year will all births be outside marriage? e. estimate the percentage of births outside marriage in 2003. what is the the error in the estimate ? ( the error is the different between the estimate value and the actual value) according to the model, in 2003, there were ?
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
The sub-part to be solved is d and e
an equation, p=0.56+28.71, model the percentage, p, of birth outside marriage in the united states at t years since 1990 (see the table below). complete part a. thought e. below
biths outside marriage
year percentage of births outside marriage
1991 29.5
1995 32.2
1999 33.0
2003 34.6
2008 40.6
2012 40.7
a. rewrite the equation p=0.56t+28.71 with the function name f.
b. find f(35). what does this result mean in this situation?
f(35)=
c. find the value of t so that f(t)=35 what does this result mean in this situation?
the value of t is ? so that f(t)=35
d. according to the model, in what year will all births be outside marriage?
e. estimate the percentage of births outside marriage in 2003. what is the the error in the estimate ? ( the error is the different between the estimate value and the actual value)
according to the model, in 2003, there were ?
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