Stefan sells Jin a bicycle for $114 a for $18. The total cost for Jin is 120% of what Stefan spent or to buy the bike and helmet. How much did Stefan spend originally to but a bike and helmet. How much money did he make by selling the bicycle and helmet to jin?

The selling cost for Stefan bicycle = $114 and

the selling cost of a helmet = $18.

The total cost for Jin is 120% of the money spent.

Let us assume purchasing cost of a bicycle = $x.

Purchasing cost of a halmet = $y.

For bicycle

120% of x is $114

=> 1.20 * x = 114

Dividing both sides by 1.20, we get

x=$95.

For helmet.

120% of y is $18.

=> 1.20 * y = 18.

Dividing both sides by 1.20, we get

y = $15.

Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet.

$114 - 95 = $19

$18 - 15 = $3.

Therefore, he made $19 by selling the bicycle and $3 by selling the helmet to Jin.

A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15,900).

B

How many helmets must the company make and sell to break even?

600

How much will it cost the company to make 600 helmets?

15,600