Answer:
see below
Step-by-step explanation:
butterfly = x minutes
breast = y minutes
total is 50 minutes
breast stroke = butterfly +20
Part A
x+y = 50
y = x+20
Part B
Substitute the second equation into the first
x+ (x+20) = 50
2x+20 = 50
2x+20-20 = 50-20
2x = 30
2x/2 = 30/2
x = 15
y = x+20
y = 20+15
y = 35 minutes
35 minutes on the breast stroke
Part C
45 minutes on the butterfly is not reasonable
We only have a total of 50 minutes
50-45 = 5
But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.
- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
So remember that <u>parallel lines have the same slope.</u> And since Line a's slope is 5/7, and line a and b are parallel to each other, this means that <u>line b's slope is 5/7.</u>
Given:
The given values are:
To find:
The exponential regression equation for the given values (Rounded to three decimal places).
Solution:
The general form of exponential regression equation is:
...(i)
Where, a is the initial value and b is the growth/decay factor.
We have,
Round these numbers to three decimal places.
Substitute 
in (i) to find the exponential regression equation.
Therefore, the correct option is C.
