
Define a variable, write an inequality and solve the inequality.

Answer to Problem 35PPS
The amount of sales per year be $x.
Inequality equation:
The amount of sales per year should be greater than $37,500 to earn an annual income greater than $65,000
Explanation of Solution
Given:
A car salesperson is paid a base salary of $35,000 a year plus 8% of sales. What are the sales needed to have an annual income greater than $65,000?
Concept Used:
Let the amount of sales per year be $x.
Base salary is $35,000 and 8% is the commission rate and $65,000 is the expected income to be exceeded.
Translate the statement into an inequality equation.
Inequality equation:
Calculation:
Inequality equation:
Solve for x:
The amount of sales per year should be greater than $37,500 to earn an annual income greater than $65,000
Thus, the amount of sales per year should be greater than $37,500 to earn an annual income greater than $65,000
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Algebra 1
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