Translate the phrase into an algebraic expression: One more than the product of 16 and Chau's height. Use c to represent Chau's height.
Understand the Problem
The question is asking to translate a verbal phrase into an algebraic expression. Specifically, it requires converting the phrase 'One more than the product of 16 and Chau's height' into an expression using the variable c to represent Chau's height.
Answer
$16c + 1$
Answer for screen readers
The algebraic expression is $16c + 1$.
Steps to Solve
- Identify the components of the phrase
The phrase "the product of 16 and Chau's height" can be expressed using the variable $c$ to represent Chau's height. This gives us the expression $16 \times c$ or $16c$.
- Add the additional phrase
The phrase states "one more than" the product we just defined. To incorporate this, we will add 1 to our expression from the previous step.
- Formulate the complete expression
Combining the product and the additional one gives us the expression: $$ 16c + 1 $$
The algebraic expression is $16c + 1$.
More Information
The expression $16c + 1$ translates the given verbal phrase by representing Chau's height with the variable $c$ and reflecting the "one more than" condition appropriately.
Tips
- Confusing "one more than" with simply adding 1; it's important to remember to add it to the product, not just simply include it.
- Forgetting to use the variable $c$ correctly to represent Chau's height.
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