Questions: In 2015, the average weekly salary for workers in the United States was 801. This average weekly salary amount is increasing by 24 yearly after 2015. a. Write an equation that describes the average weekly salary for some years after 2015.

In 2015, the average weekly salary for workers in the United States was 801. This average weekly salary amount is increasing by 24 yearly after 2015. a. Write an equation that describes the average weekly salary for some years after 2015.
Transcript text: In 2015 , the average weekly salary for workers in the United States was $\$ 801$. This average weekly salary amount is increasing by $\$ 24$ yearly after 2015. a. Write an equation that describes the average weekly salary for somer of years after 2015.
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Solution

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Solution Steps

To find the equation that describes the average weekly salary for some number of years after 2015, we need to consider the initial salary in 2015 and the annual increase. The initial salary is $801, and it increases by $24 each year. Therefore, the salary in any given year can be expressed as a linear equation where the number of years after 2015 is the variable.

Step 1: Define the Equation

The average weekly salary \( S \) for workers in the United States after \( x \) years from 2015 can be expressed as: \[ S(x) = 801 + 24x \]

Step 2: Calculate the Salary for 5 Years After 2015

To find the average weekly salary in 2020 (which is 5 years after 2015), we substitute \( x = 5 \) into the equation: \[ S(5) = 801 + 24 \cdot 5 \]

Step 3: Perform the Calculation

Calculating the expression: \[ S(5) = 801 + 120 = 921 \]

Final Answer

The average weekly salary in 2020 is \( \boxed{921} \).

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