Answer
h(x) = 6 * (2/3)^x
Steps:
The graph specifically highlights two points that might interest us in obtaining the equation. They are x=0 and x=1.
For x=0,
h(x) = 6 {obtained from the graph}
h(x) = 6 = a*b^0
Implies, a=6, since anything to the power 0 is 1, therefore b^0 is 1.
For x=1,
h(x) = 4 {obtained from the graph}
h(x) = 4 = 6*b^1 {a substituted by 6}
Implies, 4=6*b, since anything to the power 1 is itself, therefore b^1 is b.
b then is given by 4/6, simplified to 2/3.
Therefore the equation then becomes,
h(x) = 6 * (2/3)^x
Answer:
18 boys
Step-by-step explanation:
boys/girls = 3/11 = b/66
3/11 = b/66
11b = 3 × 66
b = 3 × 6
b = 18
There are 18 boys.
A) 1150 yards
B) 26.09 seconds