Translate the sentence into an equation. Four more than the product of a number and 2 is equal to 9. Use the variable c for the unknown number.
Answer (2)
Express the product of a number c and 2 as 2 c .
Add 4 to the product to represent 'four more than': 2 c + 4 .
Set the expression equal to 9 to form the equation: 2 c + 4 = 9 .
The equation representing the sentence is 2 c + 4 = 9 .
Explanation
Understanding the Problem We need to translate the sentence 'Four more than the product of a number and 2 is equal to 9' into an equation using the variable c for the unknown number.
Expressing the Product The product of a number (c) and 2 can be written as 2 × c , which is commonly written as 2 c .
Adding Four 'Four more than the product of a number and 2' means we add 4 to the product, so we have 2 c + 4 .
Forming the Equation The sentence states that this expression 'is equal to 9', so we set the expression equal to 9: 2 c + 4 = 9 .
Final Answer Therefore, the equation that represents the given sentence is 2 c + 4 = 9 .
Examples
In everyday life, translating sentences into equations helps us solve various problems. For example, if you know that a taxi ride costs $4 initially and then $2 per mile, and your total fare is $9, you can use the equation 2 c + 4 = 9 to find out how many miles (c) you traveled. This skill is also useful in budgeting, calculating discounts, and understanding financial transactions.
The sentence can be translated into an equation as 2c + 4 = 9, where c represents the unknown number. This follows the steps of identifying the product and incorporating the phrase 'four more than' into the equation. The final equation is 2c + 4 = 9.
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