Let's break down the problem step by step to identify the parts of the expression representing the golf scores of Erick, Mia, and Isabelle.
### Understanding the Scenario
1. Mia's Score:
- Let [tex]\( x \)[/tex] represent Mia's score.
2. Erick's Score:
- Erick scored 10 more than Mia.
- Thus, Erick's score is [tex]\( x + 10 \)[/tex].
3. Isabelle's Score:
- Isabelle scored 16 less than twice Mia's score.
- Thus, Isabelle's score is [tex]\( 2x - 16 \)[/tex].
### Creating the Expression
To represent the total scores of Erick, Mia, and Isabelle combined, we can add their individual scores:
[tex]\[ \text{Total score} = \text{Mia's score} + \text{Erick's score} + \text{Isabelle's score} \][/tex]
Substituting the scores we have:
[tex]\[ \text{Total score} = x + (x + 10) + (2x - 16) \][/tex]
### Simplifying the Expression
Combine like terms:
[tex]\[
x + (x + 10) + (2x - 16) \implies x + x + 10 + 2x - 16
\][/tex]
[tex]\[
= 4x - 6
\][/tex]
### Statements About the Expression
1. Variable in the Expression:
- The variable [tex]\( x \)[/tex] represents Mia's score.
2. Simplified Form of the Expression:
- The expression simplifies to [tex]\( 4x - 6 \)[/tex].
3. Constant in the Simplified Expression:
- The constant in the simplified expression is [tex]\(-6\)[/tex].
### Conclusion
Let's summarize the statements:
1. What does the variable in the expression represent?
- Mia's score
2. What is the expression in simplified form?
- [tex]\( 4x - 6 \)[/tex]
3. What is the constant in the simplified expression?
- [tex]\(-6\)[/tex]
