Answer:
2.5
Step-by-step explanation:
25 / 10 = 2.5
Check with 6in
6 x 2.5 = 15
x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80
This is how Corey should have solved
y = 1.505*x - 88.21
80 = 1.505*x - 88.21 <--- replace y with 80
1.505*x - 88.21 = 80
1.505*x = 80 + 88.21 <--- add 88.21 to both sides
1.505*x = 168.21
x = 168.21/1.505 <--- divide both sides by 1.505
x = 111.767
x = 111.8
If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval.
G(g(x))=16x-15
means that when you subsituted g(x) for x in g(x), you got 16x-15
a(ax+b)+b=16x-15
distribute
xa^2+ab+b=16x-15d
we look at the x terms
therefor
xa^2=16x
a^2=16
a=-4 or 4
we will find out
look a constant terms
ab+b=-15
undistribute b
b(a+1)=-15
if a is -4 then
b(-4+1)=-15
b(-3)=-15
b=5
if a=4 then
b(4+1)=-15
b(5)=-15
b=-3
so
g(x)=-4x+5 or
g(x)=4x-3
if a=-4, b=5
if a=4, b=-3
Okay so in order to figure this out you have to realize that height (distance) cannot be negative. So all you do is add 282 feet from the mountain and 282 from the valley to get 564ft in the difference of elevations