In 2011, the moose population in a park was measured to be 5,700. By 2018, the population was measured again to be 9,400. If the population continues to change exponentially, find an equation for the moose
population, P, as a function of t, the years since 2011.
Round numbers to 3 decimal places as needed.
What does your model from above predict the moose population to be in 2023?
Round your answer to the nearest whole moose.

P = 5700(1.074ⁿ)

13,437 moose in 2023    13,425 if you use the rounded function above.

Step-by-step explanation:

p = 5700(1 + x)ⁿ

n = years elapsed     x = percentage increase per year

2018 - 2011 = 7 years

9400 = 5700(1 + x)⁷

9400/5700 = (1 + x)⁷

ln(9400/5700) = 7ln(1 + x)

ln(9400/5700) / 7 = ln(1 + x)

e^(ln(9400/5700) / 7) = e^(ln(1 + x))

1.07407879 = 1 + x

x = 0.07407879

2023 - 2011 = 12

P = 5700(1.074¹²) = 13,437

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.