Mathematics, 10.11.2020 06:40 AM28

From 2005 to 2015, a population of Plions is modeled by the equation P = 1,500 - (0.98)", where t is the number of years since 2005.
1. About how many lions were there in 2005?
2. Describe what is happening to the population of lions over this decade.
3. About how many lions are there in 2015? Show your reasoning.

From 2005 to 2015, a population of Plions is modeled by the equation P = 1,500 - (0.98),

where t

Answers: 1

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Answers

Answer from: Quest

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m 60 second 60 minutes

* * = 54000 meters/ hour

second 1 minute 1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m 1 km

* = 54 km / hours

hour 1000m

Answer from: Quest

step-by-step explanation:

for exempl this system of equations y = x - 3

y = 2x - 5

look the line : y = x -3 ( red)

the line : y = 2x -5 ( bleus)

Answer from: Quest

a) 40 more; b) old factory: 10%, new factory: 16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.

using the function, substituting 0 in for w,

$p(w)=230(1.1)^w\\\\p(0)=230(1.1)^0\\\\p(0)=230(1)=230$

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate. the equation for the old factory is $p(w)=230(1.1)^w$ ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1. this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

$\text{percent of change}=\frac{\text{amount of change}}{\text{original amount}}$

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337. this is the first week that the new factory surpasses the old.

Answer from: Quest

no solution exists the way you wrote the equation.

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From 2005 to 2015, a population of Plions is modeled by the equation P = 1,500 - (0.98)", where t i...