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From 1960 to 1970, the consumer price index (CPI) increased from 29.6 to 48.2. If a dozen donuts cost $0.89 in 1960 and the price of donuts increased at the same rate as the CPI from 1960 to 1970, approximately how much did a dozen donuts cost in 1970?

Respuesta :

Answer:

$1.45

Step-by-step explanation:

shubhamchouhanvrVT

The cost of a dozen doughnuts in 1970 is $1.44.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

To calculate the cost of a dozen doughnuts in 1970 we have to know the percentage increase in the price index from 1960 to 1970 and this will be:

Rate = [(48.2 – 29.6) / 29.6] × 100%

Rate = (18.6 / 29.6) × 100%

Rate = 62.83 %

Let's represent the price of a dozen doughnuts in 1970 by X and solve. This will be:

62.83  = (X - 0.89) × 100 / 0.89

(62.83  × 0.89 ) = 100X - 89

55.9 = 100X - 89

100X = 144.9

X = 144.9 / 100

X = $1.44

X = $1.44

Therefore, the cost of a dozen doughnuts in 1970 is $1.44.

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