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Makovka662 [10]
2 years ago
12

Let C(x)=600+60x be the cost to manufacture x items.Find the average cost per item, to the nearest dollar, to produce 30 items.

Mathematics
1 answer:
QveST [7]2 years ago
6 0

Answer:

Correct answer: B: $80

Step-by-step explanation:

Given the function, C(x) = 600 + 60x, where:

C(x) = represents the total cost to manufacture x items

    x = number of manufactured items

Substitute x = 30 into the given function:

C(30) = 600 + 60(30)

C(30) = 600 + 1800

C(30) = 2400 ← This represents the total cost to produce 30 items.  We need to find out the <u>average cost per item</u>.

Thus, we need to divide $2,400 by 30 to get the average cost of producing each item:

$2,400 / 30 = $80

Therefore, the correct answer is B) $80

Please mark my answers as the Brainliest if you find my explanations helpful :)

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Answer: Choice A) M = 0.25n + 100

=============================================================

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

  • x = number of CDs
  • y = total mass in kg

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

m = (y2-y1)/(x2-x1)

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Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

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You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

------------------------------

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

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M = 0.25*100 + 100

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Which is confirmed by what the graph shows. I'll let you check the other points as well.

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