Question

A fruit company recently released a new applesauce. By the end of its first​ year, profits on this product amounted to $ 35 comma 900.$35,900. The anticipated profit for the end of the fourth year is $ 44 comma 300.$44,300. 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. A. Write a linear function​ P(x) that expresses profit as a function of time.

Answer 1

Answer:

P(x) = 35,900 + 2,800(x-1)

Step-by-step explanation:

P(x)

P(1) = $35,900

P(4) = $44,300

Difference in profits

P(4) - P(1)

= P(3)

= $44,300 - $35,900

= $8,400

Rate of change per year = $8,400 / 3

= $2,800 per year

The linear equation

P(x) = 35,900 + 2,800(x-1)

Where

x = number of years