Can someone plz explain how to do this
1 answer:
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Answer:
a)
b) 14650
Step-by-step explanation:
First let's find out how much the population increased during those 4 years.
In 1992 it was 1000.
In 1996 it was 4900.
. During 4 years, the population increased by 3900.
Therefore during 1 year, the population increased by
Since it's linear, we can write it using the general equation for a straight line, which is .
We've already found m, which is the slope of the line (975).
The question asks us to write it in the form: . where P is the population and t is the time in years since 1990.
We can sub some values into this formula to work out the constant, c.
Let's put in the values for 1992. Population is 1000 and the time in years after 1990 is 2 (since 1992 - 1990 = 2)..
Therefore:
Re-arrange to get:
Therefore, we have our formula now.
Now for the second part of the question, population of moose in 2006. We need to work out how many years apart 1990 and 2006 are which we can calculate by doing .
Now let's put this into our formula.
Answer:
and
(None of the answer choices fits. See explanation below)
Step-by-step explanation:
In mathematics, the modulus of a number, denoted by enclosing the number within vertical bars is the absolute value of the number. If the number is negative the sign is disregarded and the number is treated as positive
For example, and
is also
Solve for in the equation
Subtracting 4 on both sides yields
Simplifying
Multiplying by 2 on both sides yields
We do not know if |x-3| is negative or positive since
So we have 2 possibilities
If is negative, then
==>
If is positive, then
==>
So the possible values are and
None of the answer choices fits these values indicating either an error in the answer choices or the original equation