Question

Equation

Answer 1

Sally has been planting squash in her garden. Sally started with squash in one square foot of garden modeled by the function s(x) = 8. She is allowed to convert more of the garden, and each additional square foot she maintains allows her squash plants to produce more by a rate of \[a(x)=2.4^{x-2}\] Explain to Sally how to create an equation to predict the number of squash she can expect based on the number of square feet she maintains. Describe how to determine the number of squash she will grow with 10 square feet. Use complete sentences.

Answer 2

@ganeshie8 @amistre64 @phi @mathmale

Answer 3

I think they want you to say
number of squash = 8 + 2.4^(x-2)
if we call the function f, we would write
\[ f(x) = 8+ 2.4^{x-2}\]

Answer 4

Where would the 10 square feet come into play?

Answer 5

after reading it over, I am thinking maybe the function should be
\[ f(x) = s(x) a(x) \\ f(x) =8 \cdot 2.4^{x-2} \]
because they call a(x) a rate.

the x is the number of square feet used.

Answer 6

This is one of those unfortunate questions lousy teachers come up with. It does not really test understanding because the question is too muddled (using undefined terms and or relations) to know what they are talking about.

Answer 7

lol

Answer 8

Broken question. "Sally started with squash in one square foot of garden modeled by the function s(x) = 8" what the hell is s(x) = 8??

Answer 9

@ganeshie8 @agent0smith @amistre64

Answer 10

@ankit042 @beccaboo333

Answer 11

let the starting value be P

then Pa(x) gives the number of plants per square foot

Answer 12

our initial condition is for 8 square feet .... when x=8, we have P plants

Pa(8) = P if a(8) = 1

Answer 13

s = squash ... the initial amount of squash per square foot is 8; s(1) = 8

Answer 14

but yeah .. s(x) = 8 technically reads that the number of square is equal to 8 for x number of square feet ..... which means that for s(40) = 8 is just as valid as s(1) = 8

Answer 15

*number of squash

Answer 16

They don't even define what s, x or 8 are. Is it 8 squash planted??

Answer 17

s(x) = 8 would be the same as f(x)=8. 8 squash is how many are planted in 1 square foot.

Answer 18

@agent0smith

Answer 19

@amistre64 I understand that, but then each additional square foot will produce \[a(x)=2.4^{x-2}\], so how do I explain the equation to predict the number of squash based on number of square feet.