Question

erica is investing in the stock market and has a maximum budget of $8,700 with which to purchase stock in two promising companies. stock in the software company currently sells for $6 per share. stock in the robotics company is currently trading at $57 per share. select the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of shares in the software company y = the number of shares in the robotics company 6x - 57y ≤ 8,700 6x + 57y ≤ 8,700 6x + 57y < 8,700 6x - 57y < 8,700

Explanation:

Step1: Calculate cost of each stock

The cost of software - company stocks is $6x$ (since each share costs $6$ dollars and there are $x$ shares), and the cost of robotics - company stocks is $57y$ (since each share costs $57$ dollars and there are $y$ shares).

Step2: Set up the inequality

Erica has a maximum budget of $8700$ dollars. This means the total cost of the stocks she buys, which is the sum of the cost of software - company stocks and robotics - company stocks, must be less than or equal to $8700$. So the inequality is $6x + 57y\leq8700$.

Answer:

$6x + 57y\leq8700$