An economist suspects that the points $( 0,6 ) , ( 1,3.152 ) , ( 2,1.656 ) , ( 3,0.870 )$ lie on the graph of $y = c 5 ^ { k x }$ , where $c$ and k are constants. If the data points have three-decimal-place accuracy, is this suspicion correct?
A) The suspicion is incorrect
B) The suspicion is correct

Question

Quizplus · Accepted Answer

The suspicion is correct because the points fit the form $y = c 5^{kx}$ with $c = 6$ and $k \approx -0.5$, matching the given data points within three-decimal-place accuracy.

An Economist Suspects That the Points (0,6),(1,3.152),(2,1.656),(3,0.870)( 0,6 ) , ( 1,3.152 ) , ( 2,1.656 ) , ( 3,0.870 )(0,6),(1,3.152),(2,1.656),(3,0.870)

An Economist Suspects That the Points $( 0,6 ) , ( 1,3.152 ) , ( 2,1.656 ) , ( 3,0.870 )$