Question

Can you answer the IXL down below

Answer 1

Answer: $6

Explanation:

Taking x to be the price of the cards, we know Jenny will sell -15x + 120 cards. This means the profit before accounting for the service charge is x*(-15x+120), and after accounting for the service charge, Jenny takes home 0.7x(-15x+120) dollars. We want this number to be equal to 125, so we set up the equation:

`125 = 0.7x*(-15x+120)\\125 = -10.5x^2+84x\\0 = -10.5x^2+84x - 125`

We can then use the quadratic equation to solve:

`a = -10.5, b = 84, c = -125\\x = (-b±√(b^2-4ac))/(2a) \\x = (-84±√(84^2-4*(-10.5)*(-125)))/(2*(-10.5)) \\x = (-84±√(7056-5250))/(-21) \\x = (-84±√(1806))/(-21) \\x = (-84±42.497)/(-21) \\\\x = (-41.503)/(-21) \ or (-126.497)/(-21) \\x = 1.976 \ or \ 6.024`

Rounding to the nearest dollar, x = 2 or 6. The bigger of these two values is 6, so Jenny should charge $6 per card.