Question

Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t . Write r as a percent.

Answer 1

Answer:

Option a:

a=79

b=1.002

r=0.2%

Step-by-step explanation:

Q = 79 (1.002)^t

Q = a b^t = a (1+r)^t

Comparing with the formulas:

a=79

b=1.002

1+r=1.002

Solving for r: Subtrating 1 both sides of the equation:

1+r-1 = 1.002 - 1

r = 0.002

Writting r as percent:

r = (0.002) 100%

r = 0.2%