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

slaggingV

slaggingV

Answered question

2021-02-11

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

Answer & Explanation

Mayme

Mayme

Skilled2021-02-12Added 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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