Johnny has been planting blueberries in a garden in his backyard. Johnny started with blueberries in one square foot of garden modeled by the function s(x) = 10. He is allowed to convert more of the garden, and each additional square foot he maintains allows his blueberry plants to produce more by a rate of
a(x) = 1.4^(x-2).

Explain to Johnny how to create an equation to predict the number of blueberries he can expect based on the number of square feet he maintains. Describe how to determine the number of blueberries he will grow with 5 square feet

Question

Johnny has been planting blueberries in a garden in his backyard. Johnny started with blueberries in one square foot of garden modeled by the function s(x) = 10. He is allowed to convert more of the garden, and each additional square foot he maintains allows his blueberry plants to produce more by a rate of
a(x) = 1.4^(x-2).

Explain to Johnny how to create an equation to predict the number of blueberries he can expect based on the number of square feet he maintains. Describe how to determine the number of blueberries he will grow with 5 square feet

perl · Answer

I am stumped on the part that says 'more by a rate of '

perl · Answer

i was asked to help another student with this, and i find the wording a bit odd

zzr0ck3r · Answer

and this is not calc?

perl · Answer

algebra *2

perl · Answer

I tried this 
y = 10( 1 + 1.4^(x-2)) , but i dont think thats right, for x>= 1

zzr0ck3r · Answer

nm yeah I dont know this is confusing lol

perl · Answer

:D tell me about it

zzr0ck3r · Answer

it seems like we need to multiply the rate times some amount of time, so that our units are berries

zzr0ck3r · Answer

what does f(x) tell us? the amount of berries?

perl · Answer

correct

zzr0ck3r · Answer

http://openstudy.com/study#/updates/5317ca9ce4b0572ef0fc2dfd

zzr0ck3r · Answer

lol

perl · Answer

you found it :)

perl · Answer

i suspect the question might have a typo , but in the worst case scenario

zzr0ck3r · Answer

it might be s(x) * a(x)

zzr0ck3r · Answer

but that does not work with the units....

zzr0ck3r · Answer

$b * \frac{b}{t} \ne b$

zzr0ck3r · Answer

I dont know, but if you figure it out...let me know.

perl · Answer

also, here is another question

perl · Answer

A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standard deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 4% of 70%.

Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.

perl · Answer

hey, how would you prove rigorously that f(x,y) = x^2 - y^2 is onto, on R? just wondering