Question 617719
your equation is:
a(n) = (800 + n) * (10 - .01n)
that doesn't look right.
let's see how it works.
if you don't plan an extra vine, then you will get:
a(0) = (800) * (10) which would equal 8000 pounds per acre per season.
if you add 1 vine to the acre, then your production is:
a(1) = (801) * (10 - .01) which would then be equal to:
a(1) = 801 * 9.99 which would be equal to 8001.99
1 percent of 10 is equal to .01 * 10 which is equal to .1
if you subtract .1 from 10, you get 9.9.
your problem appears to be in your factor.
the equation should be:
a(n) = (800 + n) * (10 - .01*n*10) which would then be equal to:
a(n) = (800 + n) * (10 - .1*n)
that's where i think you went wrong.
let's see if that straightens it out.
a(0) = 800 * 10 = 8000 so that's ok.
a(10) = (800 + 10) * (10 - .1*10) which is equal to:
a(10) = (810) * (9) which is equal to 7290
let's see if this makes sense.
you add 10 vines to the acre and your yield decreases by 1 percent for each additional vine that's planted.
if so, then your yield per vine should have decreased from 10 pounds to 9 pounds.
that gets you 9 * 810 = 7290 pounds.
i think the equation is now correct.
check it out and let me know how you did.