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Virty [35]
2 years ago
15

In 2009, a town's population was about 9,000 residents. In 2014, the population was about 12,500 residents. Which linear model r

epresents the town's population, p, as a function of t, the time in years after 2007
Mathematics
2 answers:
NeX [460]2 years ago
6 0

Answer:

Population function (Based on 2007) =  7,600 + 700n

Step-by-step explanation:

Given:

Population in 2009 = 9,000

Population in 2014 = 12,500

Computation:

Increase in population per year = [12,500 - 9,000] / 5

Increase in population per year = 700

Population in 2007 = 9,000 - [2 x 700]

Population in 2007 = 7,600

Population function (Based on 2007) =  7,600 + 700n

n = number of year

trapecia [35]2 years ago
5 0

Answer:

p(t)=700t+7600

Step-by-step explanation:

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Answer:

Table D

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

<em>Table A</em>

For x=1, y=3

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k=y/x -----> k=3/1=3

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therefore

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<em>Table B</em>

For x=1, y=-5

Find the value of k

k=y/x -----> k=-5/1=-5

For x=2, y=5

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the values of k are different

therefore

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<em>Table C</em>

For x=1, y=-18

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k=y/x -----> k=-18/1=-18

For x=2, y=-9

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k=y/x -----> k=-9/2=-4.5

the values of k are different

therefore

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<em>Table D</em>

For x=1, y=4

Find the value of k

k=y/x -----> k=4/1=4

For x=2, y=8

Find the value of k

k=y/x -----> k=8/2=4

For x=3, y=12

Find the value of k

k=y/x -----> k=12/3=4

All the values of k are equal

therefore

The table D represent a direct variation or proportional relationship

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3 years ago
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