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Answer :
To solve this problem, we need to figure out how many inches Li's little brother needs to grow to meet the height requirement for the roller coaster.
Step 1: Convert Li's brother's height to inches.
- Li's brother is 3 feet 6 inches tall.
- We know that 1 foot equals 12 inches. So:
- Convert the feet to inches: [tex]\(3 \text{ feet} \times 12 \text{ inches per foot} = 36 \text{ inches}\)[/tex]
- Add the remaining inches: [tex]\(36 \text{ inches} + 6 \text{ inches} = 42 \text{ inches}\)[/tex]
Li's little brother is currently 42 inches tall.
Step 2: Determine the height requirement.
- The height requirement for the roller coaster is 48 inches.
Step 3: Find out how many inches he needs to grow.
- He needs to be at least 48 inches tall to go on the ride.
- The difference between the required height and his current height is:
- [tex]\(48 \text{ inches (requirement)} - 42 \text{ inches (current height)} = 6 \text{ inches}\)[/tex]
Step 4: Set up the inequality.
- We can express this requirement with an inequality where [tex]\( h \)[/tex] represents how many inches Li's brother must grow.
- If he starts at 42 inches, he needs to grow enough to reach at least 48 inches.
- This can be expressed as: [tex]\( 48 \leq h + 42 \)[/tex]
Therefore, the correct inequality that can be used to find out how many inches Li's brother must grow is [tex]\( 48 \leq h + 42 \)[/tex].
Step 1: Convert Li's brother's height to inches.
- Li's brother is 3 feet 6 inches tall.
- We know that 1 foot equals 12 inches. So:
- Convert the feet to inches: [tex]\(3 \text{ feet} \times 12 \text{ inches per foot} = 36 \text{ inches}\)[/tex]
- Add the remaining inches: [tex]\(36 \text{ inches} + 6 \text{ inches} = 42 \text{ inches}\)[/tex]
Li's little brother is currently 42 inches tall.
Step 2: Determine the height requirement.
- The height requirement for the roller coaster is 48 inches.
Step 3: Find out how many inches he needs to grow.
- He needs to be at least 48 inches tall to go on the ride.
- The difference between the required height and his current height is:
- [tex]\(48 \text{ inches (requirement)} - 42 \text{ inches (current height)} = 6 \text{ inches}\)[/tex]
Step 4: Set up the inequality.
- We can express this requirement with an inequality where [tex]\( h \)[/tex] represents how many inches Li's brother must grow.
- If he starts at 42 inches, he needs to grow enough to reach at least 48 inches.
- This can be expressed as: [tex]\( 48 \leq h + 42 \)[/tex]
Therefore, the correct inequality that can be used to find out how many inches Li's brother must grow is [tex]\( 48 \leq h + 42 \)[/tex].
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