Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 29% each week. The following function represents

Step-by-step answer:

The base of the exponential function is set at 1.29 for a period of 7 days, which is expressed as

f(x) = 86*(1.29)^x

To determine the daily rate, divide the variable x by 7 (keeping x as the number of weeks), resulting in

f(x) = 86*1.29^(x/7)

Applying the exponent rule, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

we can simplify by setting b=1.29, a=7 to arrive at

f(x) = 86*(1.29^(1/7))^x

f(x) = 86*(1.037)^x since evaluating 1.29^(1/7) yields approximately 1.037

Rounding 1.037 to 1.04 gives a (VERY) rough estimate function

f(x) = 86 * (1.04^x)

1.04 is only an approximation because 1.04^7 is expected to return 1.29, it actually results in 1.316; meanwhile, 1.037^7 returns 1.2896, which is much closer to 1.29.

Answer:

A

Detailed explanation:

I answered correctly on the test