Answer:
1) decay
2) growth
3) growth
Step-by-step explanation:
A generic exponential function can be written as:
f(x) = A*(r)^x
Where:
A is the initial amount of something.
r is the rate of growth.
x is the variable, usually, represents time.
if r > 1, we have an exponential growth.
if r < 1, we have an exponential decay.
1) f(x) = (3/4)^x
in this case we have:
A = 1
r = (3/4) = 0.75
Clearly, r < 1.
Then this is an exponential decay.
2) f(x) = (1/6)*4^x
In this case we have:
A = (1/6)
r = 4
Here we have r > 1.
Then this is an exponential growth.
3) f(x) = (1/4)*(5/2)^x
in this case we have:
A = 1/4
r = 5/2 = 2.5
here we have r > 1, then this is an exponential growth.
16•0.10= 1.60$
8•0.05= 0.40¢
12•0.25= 3.00$
1.60$+0.40¢+3.00$= 5.00$
3•0.10= 0.30¢
5•0.05= 0.25¢
0.30¢+0.25¢= 0.55¢
5.00$-0.55¢= 4.45$
4.45$ is left in the piggy bank.
From the given scenario in this item, we can say that the sum of x and y is 500. By the aluminum balance, the equation that we can formulate from this,
0.25x + 0.40y = (500)(0.35)
The system of linear equations that can best express the given is,
x + y = 500
0.25x + 0.40y = 175
