Step-by-step Explanation:
Part A: Algebraically write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer.
Considering the data
Age (in years) Weight (in pounds)
2 32
6 47
7 51
4 40
5 43
3 38
8 60
1 23
Considering the slope intercept form

where
is the slope of the line and
is the y-intercept.
Taking two points, lets say (2, 32) and (8, 60)
as




so





Thus

as
and
substituting in the slop-intercept form

Therefore,
is the equation of the best fit line in slope-intercept form.
Part B: Use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.
As the equation of line is

So in order to find the weight of the little girl at an age of 14 years old, put
in the above equation.
as

∵ 

Therefore, the approximate weight of the little girl at an age of 14 years old will be 88 pounds.
Answer:
1. 10 weeks
Step-by-step explanation:
Apparently, we want to find the number of weeks (w) that Kaitlyn must save $6 in order to have a total of $60.
... $6 × w = $60
Divide by $6 to get ...
... w = $60/$6 = 10
Kaitlyn must save for 10 weeks (if she starts with a balance of 0).
_____
<em>Comment on the problem statement</em>
The problem reads like we came in somewhere in the middle of it. We don't know what other steps you've been asked to perform, or any of the details of the problem you're asked to solve. We don't have Kaitllyn's initial balance, for example, which is essential to determining how long she must save. (If Kaitlyn's initial balance is $33, for example, she must only save for 4.5 weeks.)
It should be 18, because despite of 3,14, because that's pi and radius is half of the diameter, so36 divide 2 is 18.
Common ratio can be found by dividing the 2nd term by the first
r = 48/6
r = 8
an = a1 * r^(n-1)
n = term to find = 8
a1 = first number = 6
r = common ratio = 8
now we sub
a(8) = 6 * 8^(8-1)
a(8) = 6 * 8^7
a(8) = 6 * 2097152
a(8) = 12582912 <==