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3 years ago

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What is the slope of the line that passes through the points (8,2) and (9,3)? Write your answer in simplest form.

1 answer:

Reptile [31]3 years ago

4 0

The slope should be 1

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solve the problem related to population growth.A city had a population of 23,900 in 2007 and a population of 25,100 in 2012.(a)

Finger [1]

Solution

a)

To find the exponential growth function, we apply the exponential growth formula which is

$N(t)=a(1+k)^t$

Where

$\begin{gathered} a\text{ is the }initial\text{ population} \\ k\text{ is the growth rate} \\ t\text{ is the number of time intervals} \end{gathered}$

Given that

$\begin{gathered} a=23,900 \\ N(5)=25,100 \\ t=2012-2007=5 \end{gathered}$

Substitute the variables into the exponential growth formula

$\begin{gathered} 25100=23900(1+k)^5 \\ \text{Divide both sides by 23,900} \\ \frac{25100}{23900}=\frac{23900(1+k)^5}{23900} \\ 1.05021=(1+k)^5^{} \\ \sqrt[5]{1.05021}=1+k \\ 1.00984=1+k \\ \text{Collect like terms} \\ k=1.00984-1 \\ k=0.00984 \end{gathered}$

Hence, the exponential growth function is

$\begin{gathered} N(t)=23900(1+0.00984)^t_{} \\ N(t)=23900(1.00984)^t \end{gathered}$

Hence, the exponential growth function is

$N(t)=23900(1.00984)^t$

b)

For the population of the city in 2022,

$\begin{gathered} t=2022-2007=15 \\ t=15 \end{gathered}$

Substitute for t into the exponential growth function

$\begin{gathered} N(t)=23900(1.00984)^t \\ N(15)=23900(1.00984)^{15} \\ N(15)=27700\text{ (nearest hundred)} \end{gathered}$

Hence, the population is 2022 is 27700 (nearest hundred)

8 0

1 year ago

nalin [4]

Answer:

multiplied by 3

Step-by-step explanation:

red is scaled up by 3 from blue

6 0

3 years ago

Read 2 more answers

HELLP HELP PLSSSSSSSSSS<br> HELP

andre [41]

55%. 40-18=22 and 22 of 40 is 55%

6 0

3 years ago

What is the slope of the the line that goes through (4,3) and (8,5)

TEA [102]

Formula to find the slope:

m = y2-y1 / x2-x1

(4,3); (8,5)

m= 5-3 / 8-4

m = 2/4

m = 1/2

Therefore, the slope of the line that passes through these points is 1/2

3 0

3 years ago

I know how to do this but I just want to spend some points :)

Lunna [17]

Answer:

domain: all real numbers

range: y<-2

Step-by-step explanation:

I think its correct but already know the answer sooo yea

7 0

3 years ago