A software company is hiring some programmers to add to its development team. A junior programmer salary is $48,000 and a senior programmer salary is $86,000. To keep costs down, the total spending on these new positions must be under $1,200,000 annually.

Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of junior programmers
y = the number of senior programmers

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Answer:

[tex]48,000x + 86,000y \leq 1,200,000[/tex]

Step-by-step explanation:

x is the number of junior programmers.

Each junior programmers costs $48,000.

So, the cost of x junior programmers is

48,000x

y is the number of senior programmers

Each senior programmer costs $86,000

So the cost of y seniors programmers is

86,000y

The total cost for x junior programmers and y seniors programmers is

48,000x + 86,000y

To keep costs down, the total spending on these new positions must be under $1,200,000 annually.

So the inequality is:

[tex]48,000x + 86,000y \leq 1,200,000[/tex]

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