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Lemur [1.5K]
3 years ago
10

A city's population increases by 5% every year. If its population today is 300,000, write a function that models the population

after x years.
Mathematics
1 answer:
ratelena [41]3 years ago
6 0

Answer:

f(x) = 300,000(1.05)^x

Step-by-step explanation:

Use the exponential growth equation:

f(x) = a(1 + r)^x

Plug in 300,000 as a, since it is the original population:

f(x) = 300,000(1 + r)^x

The city's population is growing at 5% each year, so plug in 0.05 as r:

f(x) = 300,000(1 + 0.05)^x

f(x) = 300,000(1.05)^x

So, the function for the population growth is f(x) = 300,000(1.05)^x

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Which ordered pair makes both inequalities true y x 1 YX?
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The ordered pair which makes both inequalities true is (-2, 2).

It is given that inequalities are

y < -x + 1 and y > x

For  y < -x + 1

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⇒ 5 < - (-3) + 1

⇒ 5 < 3 + 1

⇒ 5 < 4 is false

2) (-2, 2)

⇒ 2 < -(-2) + 1

⇒ 2 < 2 + 1

⇒ 2 < 3 is true

3) (-1, -3)

⇒ -3 < - (-1) + 1

⇒ -3 < 1 + 1

⇒ -3 < 2 is true

4) (0, -1)

⇒ -1 < -0 + 1

⇒ -1 < 1 is true

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1) (-3, 5)

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⇒ 2 > -2 is true

3) (-1, -3)

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4) (0, -1)

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To know more about Inequalities here

brainly.com/question/11612965

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