Question

The price that a company charged for a computer accessory is given by the equation 100-x^2 where x is the number of accessories that are produced, in millions. It costs the company $10 to make each accessory. The company currently produces 2 million accessories and makes a profit of 100 million dollars. What other number of accessories produced yields approximately the same profit?

Answer 1

1.45 million accessories

Explanation:

Answer 2

1.45 million accessories

Explanation:

we need to write an algebraic equation

y = (100 - 10x^2)x - 10x

y represents the profit

x represents the # of accesories produced in millions

I used 10 because that's the cost of making each accessory

100-x^2=consumer price

x-10x= accessory-cost to make all the accessories

we know that 2 million accessories make 100 million

so the number of accessories that approximately make 100 should be around 2 million

in the options 1.45 is given which is close to 2

even though 3.45 is closer than two you would go beyond a 100 million profit which isn't what you want

if the options weren't given you would have to use all values from 1-2 as "x"

hope this helps!