the amount of money Harry has saved directly relates to the number of CDs his band has sold. at one check last year his accountant told him that he had $35,580 after selling 12,200 CDs. After selling 6,400 more he now has $53,500. how much is he saving with each CD? how much did he start with? provide an equation in slope intercept form and use it to predict the number of CDs he will need to sell in order to have $1,000,000.

Answer: He is saving $2.80 with each CD. He started with $1,420. The equation would be 1,000,000 = 2.8x + 1,420, and he would have to sell about 356,636 CD’s to make $1,000,000.

Explanation:

53,500 – 35,580 = 17,920

17,920 / 6,400 = 2.80 (amount saved per CD)

12,200 + 6,400 = 18,600

2.8 x 12,200 = 34,160

35,580 – 34,160 = 1,420(amount of money he started with)

(Equation):

Slope intercept form, y = mx + b

1,000,000 = 2.8x + 1,420

1,000,000 = 2.8x + 1,420

-1,420 -1,420

998,580 = 2.8x

998,580 / 2.8 = 2.8x / 2.8

356,636 = x