Babe Ruth's 1931 salary was $80,000, Government statistics show a consumer price index of 15.2 for 1931 and 237 for 2015. Ruth's 1931 salary was equivalent to a 2015 salary of how much?

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Answer:

Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.

Step-by-step explanation:

This question can be solved by a rule of three.

Government statistics show a consumer price index of 15.2 for 1931 and 237 for 2015.

This means that $15.2 in 1931 is equivalent to $237 in 2015. So

$15.2 in 1931 - $237 in 2015

$80,000 in 1931 - $x in 2015

[tex]15.2x = 237*80,000[/tex]

[tex]x = \frac{237*80,000}{15.2}[/tex]

[tex]x = 1,247,368[/tex]

Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.

Expression contains numbers, variables, and mathematical operations. Ruth's 1931 salary is equivalent to $1,167,368.42 less than the 2015 salary.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that Babe Ruth's 1931 salary was $80,000, and the Government statistics show a consumer price index of 15.2 for 1931 while 237 for 2015. Therefore, we can write

[tex]\dfrac{15.2}{\text{Salary in 1931}} = \dfrac{237}{\text{Salary in 2015}}\\\\\text{Salary in 2015} = \dfrac{\text{Salary in 1931}\times 237}{15.2}\\\\\text{Salary in 2015} = \dfrac{80,000\times 237}{15.2}\\\\\\\text{Salary in 2015} = \$1,247,368.42[/tex]

Now, the salary of Ruth in 1931 when compared to 2015,

[tex]{\text{Salary in 2015}}-{\text{Salary in 1931}}\\\\\\= {\$1,247,368.42}-{\$80,000}\\\\ = \$1,167,368.42[/tex]

Hence, Ruth's 1931 salary is equivalent to $1,167,368.42 less than the 2015 salary.

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