Question

The cost of producing 4 units is $204.80. If cost varies directly as to number of units, what is the constant of variation?

Answer 1

k=51.20x?

Answer 2

there shouldnt be an x

Answer 3

so just k=51.20?

Answer 4

cost is directly proportional to units
cost = k x units
4 = k x 204.80
k = 51.2

Answer 5

4n=204.8
n=204.8/4
n=51.2

Answer 6

let cost = y
number of units = x

it says cos varies directly as number of units so

y varies directly with x

if you put this in equation form

y = kx

it says the cost of producing 4 units is 204.80

i said y is the cost and x is the number of units so

204.80 = 4k

to find x divide both sides by 4

k = 51.20 you got it :)