A company's monthly profit increases by $1,000 each month. In January, the profit of the company was $25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months) ?

A. y = 25,000x + 1,000

B. y = 1,000x

C. y = 1,000x - 25,000

D. y = 1,000x + 25,000

Question

Mathematics

Lana Potts

26 March, 09:10

A company's monthly profit increases by $1,000 each month. In January, the profit of the company was $25,000. If x = 0 represents January, which of the following equations represents the profit as a function of time (in months) ?

A. y = 25,000x + 1,000

B. y = 1,000x

C. y = 1,000x - 25,000

D. y = 1,000x + 25,000

+3

Answers (1)

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Whiskers · Answer 1

If at January x = 0, then as you go through the months, x will increase by 1. As they make 1000 each month, multiplying the month by 1000 will show you how much they make

So part of the equation is 1000x

Next, you know that they start with a £25,000 profit, so you need to add it on to the profits you make each month. So the second part needs to be + 25,000

The final function is therefore 1000x + 25,000, which is D