Does each equation represent exponential decay or exponential growth?
Drag and drop the choices into the boxes to correctly complete the table.
Note: If an equation is neither exponential growth nor exponential decay, do not drag it to the table.
Here are the options
Remember that in the form
a(b)^x where a > 0
When b > 0 but < 1.....we have a decay function
When b > 1.....we have a growth function
BTW..."a" doesn't matter in the determination of these.....only the value of b
g(x)=0.3(x) this is neither ...we have no exponent [ it's linear ]
H=72(56)^t growth b = 56
A=(43)^t growth b = 43 [ "a" is an understood "1" ]
H=5.9(0.82)^t decay b = 0.82
y=0.8(3.6)^t growth b = 3.6
f(t)=0.72(15)^t growth b = 14
A=49(8)^t growth b = 8
Does this make sense, Jenny ???
H=(7/2)(5/6)^t decay ( b = 5/6 )
And as long as the last one is (4/9) (8)^t it is still growth
It only matters about whether or not the number instead the parentheses is greater or less than 1 ? to determine the answer?