A) average rate=Δy/Δx=(y2-y1)/(x2-x1)=(h2-h1)/(x2-x1)
from x1 = 0 to x2= 1, <span>h(x) = 4^x, h(0)=4^0=1, h(1)=4^1=4
</span>average rate=(h2-h1)/(x2-x1)=(4-1)/(1-0)=3 (section A for interval x=0 to x=1)
from x1 = 2 to x2= 3, h(x) = 4^x, h(0)=4^2=16, h(1)=4^3=64
average rate=(h2-h1)/(x2-x1)=(64-16)/(3-2)=48 (section B for interval x=2 to x=3)
B) av.rate section B/ av. rate section A=48/4=12
this is exponential function, and for Δx=1, Δy change more for bigger numbers
Answer:
85.2459016%
Step-by-step explanation:
Lets call a to the Alonzo amount of points and m to the Miguel amount of points and write equations out of the problem's info:
a + m = 54
m = a + 4
rearrange:
<span> a + m = 54
</span>-a + m = 4
add the two equations:
<span> a + m = 54
</span><span>-a + m = 4
</span>-----------------
0 + 2m = 58
m = 29
and susbstitute in the first equation:
<span>a + m = 54
</span>a + 29 = 54
a = 54 - 29
a = 25
therefore Alonzo scores 25 points and Mike 29
The height of the cactus is three times the height of the gate
