Determine the algebraic modeling which of the following data sets are linear and which are exponential. For the linear sets, determine the slope.

slaggingV 2021-02-11 Answered

Determine the algebraic modeling which of the following data sets are linear and which are exponential. For the linear sets, determine the slope. For the exponential sets, determine the growth factor or the decay factor
a) x2101234y19131392781

b) x2101234y22.63.23.84.45.05.6

c) x2101234y3.005.079111315

d) x2101234y5.252.10.840.3360.13440.53760.021504

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Expert Answer

Mayme
Answered 2021-02-12 Author has 103 answers
Part (a)
Given data set is
x2101234y19131392781
 y(1)y(0)=31=3 and y(3)y(2)=279=3
Hence given data set is exponential.
Since y is increasing, so model is growth model.
Growth factor=3
Part b)
Given data set is
x2101234y22.63.23.84.45.05.6
y(1)y(0)=0.6andy(2)y(1)=0.6
Hence data set is linear.
Slope =y(1)y(0)10=3.83.21=0.6
Part c)
Given data set is
x2101234y3.005.079111315
y(1)y(0)=2andy(2)y(1)=2
Hence data set is linear.
Slope =y(1)y(0)10=971=2
Part d)
Given data set is
x2101234y5.252.10.840.3360.13440.53760.021504
y(1)y(0)=0.3360.84=0.4
Hence given data set is exponential.
Since y is decreasing, so model is decay model.
Decay factor =0.4
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