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Semmy [17]
1 year ago
5

Two students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each

student's answer is an equivalent expression. Then choose an expression that is equivalent. 6 - (2 - 4x)
Sophia: 6+2+4x
Sophia's expression is incorrect/correct because ______.

Ursula: 6−(−2x)
Ursula's expression is incorrect/correct because _______.

Equivalent Expression
A correct equivalent expression is ______.
Mathematics
2 answers:
xz_007 [3.2K]1 year ago
8 0

Sophia's expression is incorrect because she did not multiply 2 by -1 correctly.

Ursula's expression is incorrect because she cannot simplify 2-4x.

A correct equivalent expression is 6-2+4x.

What can I say? I got this correct on ttm.

Hope you have a great day~

sdas [7]1 year ago
6 0

Answer:

Step-by-step explanation:

6 - (2 - 4x)

sophia : 6 + 2 + 4x

sophia's expression is incorrect because she didn't distribute the negative sign thru the parenthesis correctly.

ursula : 6 - (-2x)

ursula's expression is incorrect because....well....I dont know how she got what she got...she possibly subtracted 2 from - 4x and got -2x

a correct equivalent expression is : 6 - 2 + 4x or 4 + 4x

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Answer:

Year 1 GDP Deflator is 100%

Year 2 GDP Deflator is 30%

Year 3 GDP Deflator is 14.29%

Inflation Rate between year 2 and year 3 is 50%

The Real GDP growth Rate for Year 2 and year 3 is 110%

Step-by-step explanation:

Year 1  

 Price of chocolate bar is $2 and 3 bars are sold that year so the real GDP is 3 x $2=$6 which we are also given that this year is the nominal base year so the nominal GDP is also $6. GDP is the sum of all market value produced products in an economy. Therefore that’s why we calculated as the price of a chocolate multiplied the number produced. To calculate the GDP Deflator will be as follows:

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Year 2

Price of chocolate bars is $4 per bar and 5 bars were produced therefore Real GDP =$4 x 5 = $20, now we will calculate the GDP deflator as we have been told that year  is the nominal year therefore nominal GDP is $6.

GDP Deflator= (nominal GDP/Real GDP) x 100

                       = ($6/$20) x100

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Year 3

Price of chocolate bars is $6 per bar and 7 bars were produced therefore Real GDP =$6 x 7 =$42, now we calculate the GDP deflator as we have been told that year 1 is the nominal year therefore nominal GDP is $6.

GDP Deflator = (nominal GDP/ Real GDP) x 100

                      = ($6/$42)

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Now we calculate the inflation rate between year 2 and year 3.we use the CPI (consumer price index to get the inflation rate for year 2 ad 3)

Consumer Price Index = (Current price of bar/previous price of bar) x 100 formula for CPI

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                         = 50% is the inflation rate as the consumer price gave us a positive value.

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Real GDP growth rate = [  (current Real GDP- Previous Real GDP)/Previous Real GDP] x 100

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