Final answer:
The phrase 'One more than the product of 7 and Carlos's age' translates to the algebraic expression 7c + 1, where c represents Carlos's age.
Step-by-step explanation:
To translate the phrase 'One more than the product of 7 and Carlos's age' into an algebraic expression where the variable c represents Carlos's age, you follow these steps:
- Identify the mathematical operation indicated by the phrase 'the product of', which means you will multiply something.
- Recognize that '7 and Carlos's age' tells you the two factors to multiply. Here, 7 represents a constant number and Carlos's age is represented by c.
- Calculate the product by multiplying 7 by c, which is expressed algebraically as 7c.
- Understand that 'one more than' indicates the need to add 1 to the product.
- Combine these components to create the final algebraic expression: 7c + 1.
Therefore, the algebraic expression for 'One more than the product of 7 and Carlos's age' is 7c + 1.
the complete Question is given below:
Translate this phrase into an algebraic expression.
One more than the product of 7 and Carlos's age
Use the variable c to represent Carlos's age.