Suppose that the consumer price index (CPI), which measures the cost of a typica

Question

Suppose that the consumer price index (CPI), which measures the cost of a typical package of consumer goods, stood at 134.5 in 1990 and 154.5 in 2000. Let x0 correspond to 1990, and estimate the CPl in 1996 and 2003. (Assume that the data can be modeled by a straight line.) Which linear equation best models the CPI? O A. y 2x + 134.5 O B. y -2x 134.5 O C. y 2x- 134.5 In 1996, the CPI would be approximately (Type an integer or a decimal.) In 2003, the CPl would be approximately (Type an integer or a decimal.)

Explanation / Answer

x = 0 , 1990

so , we have two points

( 0 , 134.5 ) and ( 10 , 154.5 )

slope = ( 154.5 - 134.5 ) / 10

slope = 2

hence, equation is

y = 2x + 134.5

option A is correct

2) in 1996 CPI would be

y = 2(6) + 134.5 = 146.5

in 2003 CPI would be

y = 2 ( 13 ) + 134.5 = 160.5

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