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.
Solution:
There are 4 ways.
Detailed explanation:
Candice has a total of 15 + 9 = 24 candies. Since she has three younger brothers, and 24 can be divided by 3 (24/3 = 8). Both 15 and 9 can also be divided by 3 (15/3 = 5 and 9/3 = 3).
- She can distribute 5 tootsie rolls to each brother.
- She can provide 3 twizzlers to each brother.
- She can give each brother 5 tootsie rolls and 3 twizzlers (if she decides to share all her candies).
- She can give them one of each type of candy, leaving her with 12 tootsie rolls and 6 twizzlers (this would be the best option if she wants to keep some for herself).
I see four methods to accomplish this, and two methods remain after her mother instructs her to share at least one of each candy type with all three brothers.
Response:
Second option: 
Third option: 
Detailed explanation:
The missing graph has been provided.
The attached image illustrates the graphing of the following system of linear equations:
Notice the intersection of the lines.
According to the definition, if lines in a system of equations intersect, then there is only one solution. This implies that the intersection point is the solution to that system. This can be expressed as:
Represented by "x" for the x-coordinate and "y" for the y-coordinate.
Here, it's noticeable that:
- The x-coordinate of the intersection point lies between 
and 
.
- The y-coordinate of the intersection point is situated between 
and 
.
Therefore, you can conclude that the forthcoming points (Refer to the options given in the exercise) are potential approximations for this system:
