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Answer:
The answer is the last one.
Let P = pencil length, M = marker length and Pn = pen length.
We know that the sum of these lengths is 48 cm so:
P + Pn + M = 48 (Equation 1)
Now we need to use the relationships of the lengths to find 2 more equations:
Pn = M - 1 (Equation 2)
M = P - 1 (Equation 3)
Now, sub Equations 2 and 3 into the first equation and solve for the value of P, which is 17.
Next, use the value of P to find your M value and then finally use that M value to get your Pn value.
The final answer is: pencil length = 17cm, marker length = 16cm and pen length = 15cm.
Answer:
the answer is B
B) They are all squares similar to the base
Exponential functions for the following example will be given as follows:
a] <span>A town with an initial population of 2,000 doubling in size every 10 years.
solution:
The exponential function for this example will be:
f(t)=ab^(nt)
where:
a=initial size
b=growth rate
t=time
n=number of terms
thus plugging in our values we obtain:
f(t)=2000(2)^t/10
b]</span><span>A car rental that cost $20 a day plus $0.05 per mile.
This example will follow a linear equation of the form y=ax+b, where a=rate,
b=constant amount.
From our example:
a=$0.05 per mile
b=20 dollars per day
x=number of miles
Thus the function will be:
f(x)=0.05x+20
c] </span><span>A bank account with a starting balance of $1,000 compounded annually at 5%.
</span>Here we shall use the compound interest formula to obtain our value:
FV=P(1+r/100)^t
where:
FV=future value
P=principle amount
r=rate
t=time
thus, plugging in our value in the equation we obtain:
P=$1000; r=5%, time=t
f(t)=1000(1+5/100)^t
f(t)=1000(1.05)^t
Hence the function representing the case is:
f(t)=1000(1.05)^t
d] <span>A sugar processing plant producing 2 tons of sugar per month.
This will be modeled using linear function, such that the total will be given by:
f(x)=2x
where:
x is the number of months:
thus the cases that are best modeled by exponential function is:
A and C
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