Julianna has a new job and earns a salary of $45,000. Victor has a new job and earns a salary of $54,000. Julianna will receive a salary increase of $2,500 per year, and Victor will receive a salary increase of $1,500 per year.

Which equation can be used to find x, the number of years it will take Julianna to earn the same salary as Victor?
A.45,000x + 2,500x = 54,000x + 1,500x
B.45,000x + 2,500 = 54,000x + 1,500
C.45,000 + 2,500x = 54,000 + 1,500x
D.45,000x + 2,500x = 54,000x + 1,500

To find the number of years, $ x $, it will take for Julianna to earn the same salary as Victor, let's analyze the situation.

- Julianna's initial salary: $45,000
- Victor's initial salary: $54,000
- Julianna's annual salary increase: $2,500
- Victor's annual salary increase: $1,500

After $ x $ years, Julianna's salary will be:
\[
45,000 + 2,500x
\]
And after $ x $ years, Victor's salary will be:
\[
54,000 + 1,500x
\]

We want to find when their salaries are equal, so we set the two expressions equal to each other:
\[
45,000 + 2,500x = 54,000 + 1,500x
\]

This corresponds to option **C**:
\[
\boxed{45,000 + 2,500x = 54,000 + 1,500x}
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. After how many years will Julianna's salary exceed Victor's salary?
2. What will be Julianna's salary after 5 years?
3. What will be Victor's salary after 3 years?
4. If Julianna's annual salary increase was $3,000 instead of $2,500, how would the equation change?
5. How much more will Victor earn than Julianna after 2 years?

**Tip:** When comparing two situations over time, express each scenario as an equation and set them equal to find the point of equality.

Julianna has a new job and earns a salary of $45,000. Victor has a new job and earns a salary of $54,000. Julianna will receive a salary increase of $2,500 per year, and Victor will receive a salary increase of $1,500 per year.

Which equation can be used to find x, the number of years it will take Julianna to earn the same salary as Victor?
A. 45,000x + 2,500x = 54,000x + 1,500x
B. 45,000x + 2,500 = 54,000x + 1,500
C. 45,000 + 2,500x = 54,000 + 1,500x
D. 45,000x + 2,500x = 54,000x + 1,500

Discover how to solve a linear equation to determine the number of years it will take for Julianna's salary to equal Victor's. This problem involves understanding linear equations, algebraic expressions, and their applications in real-world scenarios. Ideal for students in Grades 7-9.

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