Translate this sentence into an equation.38 is the product of Raj's savings and 2.Use the variable r to represent Raj's savings.

Break Down the Problem

1. Identify the elements of the sentence: the product, Raj's savings, and the number.
2. Define the variable: let $r$ represent Raj's savings.

Relevant Concepts

1. Translate "the product of Raj's savings and 2" into a mathematical expression: $2r$.
2. The sentence states that this product equals 38: $2r = 38$.

Analysis and Detail

1. The equation $2r = 38$ can be solved to find Raj's savings:
   • To isolate $r$, divide both sides of the equation by 2: $r = \frac{38}{2}$

Verify and Summarize

1. Calculate $r$: $r = 19$
2. Verify the original statement: if Raj's savings $r = 19$, then $2r = 2 \times 19 = 38$, which confirms the correctness of the equation.

Final Answer

The equation representing the sentence is: $2r = 38$