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Answer :
To solve the problem of determining how many inches Li's little brother must grow to ride the roller coaster, let's follow these steps:
1. Identify the Minimum Height Requirement:
The amusement park requires riders to be at least 48 inches tall to ride the roller coaster.
2. Determine Li's Brother's Current Height:
- Li's brother is 3 feet 6 inches tall.
- Since 1 foot is equivalent to 12 inches, convert his height to inches:
- 3 feet = 3 × 12 inches = 36 inches
- 6 inches remain as they are.
- Total height in inches = 36 inches + 6 inches = 42 inches
3. Set Up the Inequality:
- Let [tex]\( h \)[/tex] represent the total height Li's brother needs to reach in order to ride the roller coaster.
- Since he already is 42 inches tall, he needs to grow some additional inches.
- The requirement is that his height ([tex]\( h \)[/tex]) must be at least 48 inches in total.
4. Formulate the Inequality:
- We need to find out how much more he needs to grow. So, formulate the inequality:
- [tex]\( 48 \leq h - 42 \)[/tex]
This inequality correctly represents the condition that the total increased height ([tex]\( h \)[/tex]) must be at least 48 inches for him to be able to ride the roller coaster. This shows how many more inches he needs to grow beyond his current height of 42 inches. Therefore, the correct inequality is:
[tex]\[ 48 \leq h - 42 \][/tex]
1. Identify the Minimum Height Requirement:
The amusement park requires riders to be at least 48 inches tall to ride the roller coaster.
2. Determine Li's Brother's Current Height:
- Li's brother is 3 feet 6 inches tall.
- Since 1 foot is equivalent to 12 inches, convert his height to inches:
- 3 feet = 3 × 12 inches = 36 inches
- 6 inches remain as they are.
- Total height in inches = 36 inches + 6 inches = 42 inches
3. Set Up the Inequality:
- Let [tex]\( h \)[/tex] represent the total height Li's brother needs to reach in order to ride the roller coaster.
- Since he already is 42 inches tall, he needs to grow some additional inches.
- The requirement is that his height ([tex]\( h \)[/tex]) must be at least 48 inches in total.
4. Formulate the Inequality:
- We need to find out how much more he needs to grow. So, formulate the inequality:
- [tex]\( 48 \leq h - 42 \)[/tex]
This inequality correctly represents the condition that the total increased height ([tex]\( h \)[/tex]) must be at least 48 inches for him to be able to ride the roller coaster. This shows how many more inches he needs to grow beyond his current height of 42 inches. Therefore, the correct inequality is:
[tex]\[ 48 \leq h - 42 \][/tex]
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Rewritten by : Barada
