From 1990 to 2000, the consumer price index (cpi) increased from

130.7 to 172.2. if a pound of peaches cost $0.77 in 1990 and the

price of peaches increased at the same rate as the cpi from 1990 to

2000, approximately how much did a pound of peaches cost in 2000?

1.09 $

Step-by-step explanation:

From  1990 to 2000  ( 10 years ) the consumer price index  increased from

130.7  to  172.2 then

172,2  -  130.7   =  41.5 %  was the net increase, if peaches suffered similar increase then we will look for 41.5 %  of peaches price ( 1990)

0,77     ⇒   100

x ??      ⇒    41.5

x  =  0,77* 41,5 / 100

x  =  0,3196

Then price of a pound peaches in 2000  will be

0,77  +  0,32   =  1.09 $

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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