Question

This year José earned 3 times as much money as he earned last year. If José earned L dollars this year and he earned T dollars last year, which of the following equations represents the relationship between T and L?

(A) 3L = T
(B) L/3 = T
(C) T × L = 3
(D) L/3 = T/3
(E) L/3 = 3/T

Answer 1

The correct equation that represents the relationship between the money José earned this year (L) and last year (T) is T = L/3, which corresponds to option (B) in the question.

Step-by-step explanation:

The relationship between the money José earned this year (L dollars) and last year (T dollars), where he earned 3 times as much this year as he did last year, can be represented by the equation L = 3T. This matches none of the options given verbatim, but if we solve for T, we find that T = L/3, which is option (B).

The equation indicates that to find the amount José earned last year, T, you would divide the amount he earned this year, L, by 3. This equation embodies the textual description of José's earnings provided in the question.

The correct equation that represents the relationship between T and L is (A) 3L = T.

Since José earned 3 times as much money this year as he earned last year, we can represent the equation as 3 times the amount earned last year is equal to the amount earned this year.

For example, if José earned $100 last year, he would earn 3 * $100 = $300 this year.