Question

The cost of producing 4 metal units is $204.80. The cost of producing 8 units is $209.60. What will it cost to produce 14 units? $218.00 $214.40 $216.80 $219.20

Answer 1

$214.40 would be the answer..

Hope I helped!!
Giving me brainliest would be much appreciated =)

Answer 2

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Cost of producing 4 metal units = $204.80

Cost of producing 8 units = $209.60

Let x be the number of units and y be the cost of units.

So, we will first find the slope of (4,204.80) and (8,209.60)

So, slope would be

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{209.60-204.80}{8-4}\\\\m=\dfrac{4.8}{4}\\\\m=1.2$

So, Equation of line using the two point slope is given by

$y-204.80=1.2(x-4)\\\\y-204.80=1.2x-4.8\\\\y=1.2x-4.8+204.80\\\\y=1.2x+200$

Now, we need to find the cost of 14 units.

Here, x = 14 units.

$y=1.2x+200\\\\y=1.2\times 14+200\\\\y=16.8+200\\\\y=\ 216.80$

Hence, Third option is correct.