Answer:
100%
Step-by-step explanation:
An exponential equation with a growth rate can be expressed as: 
where r is a positive number, and represents the growth rate.
In this case since the base of the exponent equals 2, that means r=1, since 1+1=2. This means it has a growth rate of 100%, which makes sense, since the base is 2, meaning it doubles or increases by 100% every time x increases by 1.
$15
The cost goes up by $5 each time
Answer:
Children = 124
Adults = 93
Step-by-step explanation:
x = children
y = adults
x + y = 217
x = 217 - y
15.50x + 20y = 3782
15.50 (217-y) + 20y = 3782
3363.50 - 15.50y + 20y = 3782
4.5y = 3782 - 3363:50
y = 418.50/4.5
y = 93
x + 93 = 217
x = 217 - 93
x = 124
As the ball hits the ground, its height will be equal to 0, so...
-3t² + 12t + 63 = 0
t² - 4t - 21 = 0
Using the Viet's theorem to solve the quadratic equation quicker:
t₁ + t₂ = 4
t₁t₂ = -21
t₁ = -3 - this is not possible because time can't be negative
t₂ = 7
That means, the ball is expected to hit the ground after 7 sec has passed.
