Question

Fruit Company A recently released a new applesauce. By the end of its first year, profits on this product amounted to $37.100. The anticipated profit for the end of the fourth year is$58,400. After the first year, the ratio of change in time to change in profit is constant. Let x be years and P be profit.a. Write a linear function P(x) that expresses profit as a function of time.P(x) = 7100x + 30000the profit should reach $108,100 in how many years?

Answer 1

Okay, here we have this:

We need to calculate in how many years the profit should reach $108,100, so, let's replce in the function P(x):

108100=7100x+30000

Now, we are going to clear x:

108100=7100x+30000

7100x=78100

x=11

Finally we have that it will take eleven years to reach earnings of $ 78,100.