Problema Solution

a fruit company recently released a new applesauce. By the end of it's first year, profits on this product amounted to $28,700. The anticipated profit for the end of the fourth year is $74,000. After the first year, the ratio of change in time to change in profit is constant. Let x be years and P be profit in dollars.

write a linear function P(x) that expresses profit as a function of time.

Answer provided by our tutors

After the first year, the ratio of change in time to change in profit is constant:

over three years, the profit grows from 28700 to 74000:

(74000-28700)/3 = 15100


the profit growth per year is then $15,100


P(x) = 15100x + 28700