Question

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

Answer 1

Answer:

$48,000x + 86,000y \leq 1,200,000$

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:

$48,000x + 86,000y \leq 1,200,000$