Math Snap

STEP 1

Assumptions1. The cost function is given by $C(x)=150x+30$
. The variable $x$ represents the number of Kinects manufactured3. The cost function is linear, meaning the cost to manufacture each additional Kinect is constant

STEP 2

The cost to manufacture each additional Kinect is represented by the coefficient of $x$ in the cost function. In this case, it's $150.
Cost\, per\, Kinect = \($\)150

STEP 3

To estimate the cost of manufacturing37 Kinects in an hour, we need to substitute $x=37$ into the cost function.
$$C(37) =150 \times37 +30$$

STEP 4

First, calculate the multiplication part of the equation.
150 \times37 = \($\)5550

STEP 5

Now, substitute this value back into the equation to find the total cost.
C(37) = \($\)5550 +30

Calculate the total cost.
C(37) = \($\)5550 +30 = \($\)5580The cost to manufacture each additional Kinect is $150 and the cost of manufacturing37 Kinects in an hour is$5580.