Question

a software company is hiring some programmers to add to its development team. a junior programmers salary is $53,000 and a senior programmers salary is $110,000. to keep costs down, the total spending on these new positions must be under $1,000,000 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

Explanation:

Step1: Calculate cost for junior programmers

The cost for junior programmers is the salary per junior programmer times the number of junior programmers, which is $53000x$.

Step2: Calculate cost for senior programmers

The cost for senior programmers is the salary per senior programmer times the number of senior programmers, which is $110000y$.

Step3: Set up the inequality

The total spending on new positions must be under $1000000$. So the sum of the cost for junior and senior programmers should be less than $1000000$. The inequality is $53000x + 110000y<1000000$.

Answer:

$53000x + 110000y<1000000$