Answer: f(x) = 1,024(0.50)^x
Step-by-step explanation:
Hi, to answer this question we have to apply a decreasing rate formula:
f(x)= P (1 - r) ^x
Where:
p = original number of players
r = decreasing rate (decimal form, since half of the players are eliminated the percent decrease is 50%)
x = rounds
f(x) = number of players after x rounds
Replacing with the values given:
f(x) = 1,024(1-50/100)^x
f(x) = 1,024(1-0.5)^x
f(x) = 1,024(0.5)^x
The asymptote of g(x) is the aymptote of f(x) shifted six units up
25 kids in all
2xboys:3x girls
so the equation would be
2x+3x=25
solve,
5x=25
/5 /5
x=5
2x=10
3x=15
10 boys and 15 girls
Y = mx + c
-4 = 2(3) + c
-4 = 6 + c
-10 = c
y = mx + c
y = 2x - 10
Hence, the equation is y=2x-10.