Final answer:
The equation representing 'The product of 290 and j, decreased by 354 is equal to r' is 290j - 354 = r. It is formed by translating the sentence into mathematical operations: multiplication and subtraction. we write the equation as 290j - 354 = r.
Step-by-step explanation:
To write the equation for the given sentence 'The product of 290 and j, decreased by 354 is equal to r,' we follow these steps:
- Identify the words that signal mathematical operations. Here, 'product of' means multiplication, and 'decreased by' means subtraction.
- Translate the sentence into a mathematical expression. The product of 290 and a variable j is represented as 290 times j or 290j.
- When this product is decreased by 354, we subtract 354 from it, resulting in the expression 290j - 354.
- Finally, since the sentence states that this expression is equal to r, we write the equation as 290j - 354 = r.