<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B4%7D%20" id="TexFormula1" title=" \sqrt{4} " alt=" \sqrt{4} " align="absmiddle" c

In order to determine how much larger Big town's population is to Small town's population is, we need to convert the exponentials into actual numbers.

Small town's population $= 4.10\times 10^{4} = 41,000.$

Big town's population $= 2.10\times 10^{5} = 210,000.$

Step 2:

In order to determine how much larger Big town's population is to Small town's population is, we divide Big town's population by Small town's population.

$\frac{210,000}{41,000} = 5.121.$

So Big town is 5.121 times larger than Small town.

4 0

4 years ago

The world population was 2560 million people in 1950 and 3040 million in 1960 and can be modeled by the function p(t) 2560e0.017

almond37 [142]

Answer:

Step-by-step explanation:

The average rate of change is the slope. However, since this is not a linear function but an exponential one, we cannot determine the slope of the function, only the slope of the secant line that connects the x-values of 4 and 8. In order to do that we need to find the corresponding y-coordinate that goes with each of those x-values and plug them into the slope function. What we will get is a very loose interpretation of the rate of change of population, but that's all we have short of using calculus. It would be a closer estimation if we looked at x values of 4 and 5, or eve 4 ad 4.5. But that's not what we're being asked. So let's get to it.

Sub first 4 in for x and then 8, to get each y value:

$P(4)=2560e^{(.017185)(4)}$ to get that P(4) = 2742.16