The mathematical model C(x)=800x + 20,000 represents the cost in dollars a company has in manufacturing x items during a month. Based on this, how much does it cost to produce 500 items?
Describe the steps to graph the direct variation equation y = – 3x. In the formula d = rt, what do each of the letters stand for and how do they relate?
In 800x + 20000
replace x with 500 and evaluate
800(500) + 20000
= ....
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To find out how much it costs to produce 500 items, we can substitute x = 500 into the mathematical model C(x) = 800x + 20,000. Let's go step by step:
1. Start with the equation C(x) = 800x + 20,000.
2. Substitute x = 500 into this equation: C(500) = 800(500) + 20,000.
3. Calculate the right side of the equation: C(500) = 400,000 + 20,000.
4. Perform the addition: C(500) = 420,000.
Therefore, it would cost $420,000 to produce 500 items.