The cost C(in dollars) of producing x widgets is represented by c=4.5x squared how many widgets are produced if the cost is $544.50
544.50 = 4.5x^2
544.50 / 4.5 = 4.5x^2 / 4.5
121 = x^2
sqrt (121) = sqrt (x^2)
11 = x widgets
The cost C of producing x widgets is represented by the equation:
C = 4.5x^2
To find the number of widgets produced when the cost is $544.50, we can set the equation equal to that amount and solve for x:
544.50 = 4.5x^2
Dividing both sides of the equation by 4.5:
544.50 / 4.5 = x^2
120.6667 = x^2
To solve for x, we need to take the square root of both sides:
√120.6667 = √(x^2)
10.983 = x
So, approximately 10.983 widgets are produced when the cost is $544.50.
To find the number of widgets produced when the cost is $544.50, we can use the equation that relates cost and the number of widgets produced:
c = 4.5x^2
We need to rearrange the equation to solve for x, which represents the number of widgets.
First, let's substitute the given cost into the equation:
544.50 = 4.5x^2
Now, we'll isolate x by dividing both sides of the equation by 4.5:
544.50 / 4.5 = x^2
120.667 = x^2
To solve for x, we need to find the square root of both sides of the equation:
sqrt(120.667) = sqrt(x^2)
10.974 = x
So, approximately 10.974 widgets are produced when the cost is $544.50.
so 4.5x^2 = 544.5
x^2 = 544.5/4.5 = 121
x = √121 = ....