According to projections through the year 2030, the population of the given state in year is approximated by
State
State
where corresponds to the year 2000 and is in thousands. In what year do the two states have the same population?
The two states will have the same population in the year

Ask by Warren Griffiths. in the United States

Mar 23,2025

Question

According to projections through the year 2030, the population of the given state in year is approximated by
State
State
where corresponds to the year 2000 and is in thousands. In what year do the two states have the same population?
The two states will have the same population in the year

Ask by Warren Griffiths. in the United States

Mar 23,2025

UpStudy AI · Accepted Answer

**Step 1. Write the Equations**

For State $$A$$:
$$
-5x + y = 11200
$$
For State $$B$$:
$$
-142x + y = 8000
$$

**Step 2. Express $$ y $$ in Terms of $$ x $$**

Solve each equation for $$ y $$.

For State $$A$$:
$$
y = 11200 + 5x
$$

For State $$B$$:
$$
y = 8000 + 142x
$$

**Step 3. Set the Expressions Equal and Solve for $$ x $$**

Since the populations are the same, set the expressions equal:
$$
11200 + 5x = 8000 + 142x
$$

Subtract $$5x$$ from both sides:
$$
11200 = 8000 + 137x
$$

Subtract $$8000$$ from both sides:
$$
3200 = 137x
$$

Solve for $$ x $$:
$$
x = \frac{3200}{137} \approx 23.36
$$

**Step 4. Interpret the Result**

Since $$ x = 0 $$ corresponds to the year 2000, the populations are equal approximately $$23.36$$ years later, which is about the year:
$$
2000 + 23.36 \approx 2023.36
$$

Rounding to the nearest year, the populations of the two states will be the same in the year **2023**.
The two states will have the same population in the year 2023.

According to projections through the year 2030, the population of the given state in year is approximated by
State
State
where corresponds to the year 2000 and is in thousands. In what year do the two states have the same population?
The two states will have the same population in the year

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According to projections through the year 2030, the population of the given state in year is approximated by State State where corresponds to the year 2000 and is in thousands. In what year do the two states have the same population? The two states will have the same population in the year

Solución de inteligencia artificial de Upstudy

Responder

Solución

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preguntas relacionadas

Latest Algebra Questions

According to projections through the year 2030, the population of the given state in year is approximated by
State
State
where corresponds to the year 2000 and is in thousands. In what year do the two states have the same population?
The two states will have the same population in the year