Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000.
Jerry will receive a salary increase of $2,500 per year, and Victoria 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 Jerry to earn the same salary as
Victoria?
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
Answer:
C) 45,000 + 25,00x = 54,000 + 15,00x
Step-by-step explanation:
Set up equations for Jerry and Victoria separately.
Jerry: salary + increase × years
45000 + 2500x
Victoria: salary + increase × years
54000 + 1500x
Since we want to know how many years it will take for both salaries to be equal, we will equate them.
45000 + 2500x = 54000 + 1500x
The correct equation to find x, the number of years it will take Jerry to earn the same salary as Victoria, is:
C) 45,000 + 2,500x = 54,000 + 1,500x
To find the equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria, we need to determine the relationship between their salaries and the years passed.
Let's start by representing Jerry's initial salary as $45,000 and Victoria's initial salary as $54,000.
Now we know that Jerry's salary increases by $2,500 per year and Victoria's salary increases by $1,500 per year. This means that after x years, Jerry's salary will be $45,000 + ($2,500 * x), and Victoria's salary will be $54,000 + ($1,500 * x).
To find the number of years it will take for Jerry to earn the same salary as Victoria, we need to set their salaries equal to each other.
So, the equation would be:
45,000 + (2,500 * x) = 54,000 + (1,500 * x)
Now, let's take a look at the answer choices:
A) 45,000x + 2,500x = 54,000x + 1,500x
This is incorrect because the equation adds the salaries to x instead of multiplying them by x.
B) 45,000x + 2,500 = 54,000x + 1,500
This is incorrect because the equation does not multiply the salaries by x.
C) 45,000 + 2,500x = 54,000 + 1,500x
This is incorrect because the equation does not multiply the salaries by x.
D) 45,000x + 2,500x = 54,000x + 1,500
This is the correct equation since it multiplies the salaries by x.
Therefore, the correct answer is D) 45,000x + 2,500x = 54,000x + 1,500.