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From 1960 to 1970, the consumer price index (CPI) increased from 29.6 to 38.8. If a macaroni and cheese dinner cost $0.37 in 1960 and the price of macaroni and cheese increased at the same rate as the CPI from 1960 to 1970, by approximately how much did the price of a macaroni and cheese dinner increase from 1960 to 1970? A. $0.39 B. $0.30 C. $0.12 D. $0.49

Respuesta :

im pretty sure its C $0.12


best of luck hope i helped :)

Answer:

The correct option is C.

Step-by-step explanation:

From 1960 to 1970, the consumer price index (CPI) increased from 29.6 to 38.8.

Let the macaroni and cheese dinner cost $x in 1960.

If a macaroni and cheese dinner cost $0.37 in 1960 and the price of macaroni and cheese increased at the same rate as the CPI from 1960 to 1970, then

[tex]\frac{29.6}{38.8}=\frac{0.37}{x}[/tex]

[tex]29.6x=0.37\times 38.8[/tex]

[tex]x=\frac{0.37\times 38.8}{29.6}[/tex]

[tex]x=0.485[/tex]

The macaroni and cheese dinner cost is $0.485 in 1970.

The price of a macaroni and cheese dinner increase from 1960 to 1970 by

[tex]\$0.485-\$0.37=\$0.115\approx \$0.12[/tex]

The price of a macaroni and cheese dinner increased by $0.12 from 1960 to 1970.

Therefore the correct option is C.

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