Question

What year corresponds to 32% of workers covered by a traditional pension plan according to the equation:

−0.12(x−2006)=14y−2.8?

A) 2000
B) 2010
C) 2020
D) 2023

Answer 1

The correct answer is option D) 2023. To find the year that corresponds to 32% of workers covered by a traditional pension plan, we need to solve the equation −0.12(x−2006)=14y−2.8.

Step-by-step explanation:

The correct answer is option D) 2023.

To find the year that corresponds to 32% of workers covered by a traditional pension plan, we need to solve the equation. The equation given is: −0.12(x−2006)=14y−2.8.

First, we can simplify the equation by distributing -0.12 on the left side:

-0.12x + 0.12(2006) = 14y - 2.8

-0.12x + 241.2 = 14y - 2.8

Next, we can combine like terms:

-0.12x + 241.2 = 14y - 2.8

-0.12x + 244 = 14y

Now, to find the value of y that corresponds to 32%, we can set 14y equal to 32% of 100:

-0.12x + 244 = 14(0.32)

-0.12x + 244 = 4.48

-0.12x = 240.52

x ≈ 2022

Therefore, the year that corresponds to 32% of workers covered by a traditional pension plan is approximately 2023.