Question

Sam has started up a computer business. He had to take out an initial loan to get started, putting him in debt. After Sam sold 61 computers, his business was out of debt and with a profit of $6610. After he sold 104 computers, his business's profit grew to $13490. a.) Letting x represent the total number of computers sold and y represent the total profit after selling the computers, derive a linear equation in slope intercept form that models Sam's profits. b.) What was the initial loan amount that Sam had to borrow question mark What was the initial loan amount that Sam had to borrow? c.) How much profit does each individual computer sale bring question mark How much profit does each individual computer sale bring? d.) Sam has a goal to reach a profit of $ 28690. How many computers must he sell question mark Sam has a goal to reach a profit of $28690. How many computers must he sell? e.) If Sam sells 150 computers comma how much profit will that bring question mark If Sam sells 150 computers, how much profit will that bring?

Answer 1

(a)

(x₁,y₁)=(61, 6610),(x₂,y₂)=(104, 13490)

=>y=160x - 9760 +6610

=>y=160x-3150

(b)

initially at x =0

y=160*0 -3150

=>y=-3150

the initial loan amount that Sam had to borrow is $ 3150

(c)

profit that each individual computer sale bring =[(13490-6610)_/(104-61)]

profit that each individual computer sale bring = $ 160

(d)

profit of $ 28690

160x-3150=28690

=>160x=3150+28690

=>x=199

he must sell 199 computers to reach a profit of $28690

(e)

x=150

=>y=160*150 -3150

=>y=20850

If Sam sells 150 computers that will bring $ 20850 profit

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