Answer:
Step-by-step explanation:
we know that
In this problem we have a exponential function of the form
where
x ----> is the number of years since 2009
y ----> is the population of bears
a ----> is the initial value
b ---> is the base
step 1
Find the value of a
For x=0 (year 2009)
y=1,570 bears
substitute
so
step 2
Find the value of b
For x=1 (year 2010)
y=1,884 bears
substitute
The exponential function is equal to
step 3
How many bears will there be in 2018?
2018-2009=9 years
so
For x=9 years
substitute in the equation
T=(h*5)+6.5 should be it because it is the number of hours multiplied by 5 days and then you add the 6.5 hours
35 x 12= 420 Multiply 35 by 12. that equals 420
Answer:
Step-by-step explanation:
To solve for x, x needs to be on one side while all the other variables are on the other
To do this first subtract b from each side making the equation,
ax = c - b
Now divide by a on both sides. This means that to solve for x the equation must be ...
Y= -2x² + 32x -12
Take the derivative, and set it equal to zero. We are finding where the slope equals zero (the peak of the parabola)
y'= -4x + 32
0 = -4x + 32
4x=32
x=8
The maximum is at the point x=8. Plugging into the original equation:
y= -2x² + 32x -12
y= -2(8)² + 32(8) -12
y= 116
The maximum is at point y=116
Keep in mind what maximum means. It is the largest value for y that the function has. That means that the range, or all possible y-values, is
y ≤ 116.
Therefore, the answer is A) Max: 116, range: y ≤ 116
