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Answer :
Let's find how many inches Li's little brother needs to grow to ride the roller coaster.
First, we need to convert Li's little brother's height from feet and inches to just inches:
1. Li's little brother is 3 feet 6 inches tall.
2. Since there are 12 inches in a foot, we calculate his height in inches:
[tex]\[ (3 \text{ feet} \times 12 \text{ inches/foot}) + 6 \text{ inches} = 36 \text{ inches} + 6 \text{ inches} = 42 \text{ inches} \][/tex]
Next, we know the requirement for the roller coaster is being at least 48 inches tall.
We can set up an inequality to determine how many more inches (let's call this [tex]\( h \)[/tex]) Li's little brother needs to grow to reach 48 inches:
1. His current height in inches is 42, so he needs to grow to reach at least 48 inches. This can be expressed as:
[tex]\[ 42 + h \geq 48 \][/tex]
2. To find [tex]\( h \)[/tex], we solve the inequality:
[tex]\[ 42 + h \geq 48 \][/tex]
3. Subtract 42 from both sides of the inequality:
[tex]\[ h \geq 48 - 42 \][/tex]
4. Calculate:
[tex]\[ h \geq 6 \][/tex]
So, Li's little brother needs to grow at least 6 inches to be able to ride the roller coaster. The correct inequality from the given options is:
[tex]\[ 48 \leq h + 42 \][/tex]
First, we need to convert Li's little brother's height from feet and inches to just inches:
1. Li's little brother is 3 feet 6 inches tall.
2. Since there are 12 inches in a foot, we calculate his height in inches:
[tex]\[ (3 \text{ feet} \times 12 \text{ inches/foot}) + 6 \text{ inches} = 36 \text{ inches} + 6 \text{ inches} = 42 \text{ inches} \][/tex]
Next, we know the requirement for the roller coaster is being at least 48 inches tall.
We can set up an inequality to determine how many more inches (let's call this [tex]\( h \)[/tex]) Li's little brother needs to grow to reach 48 inches:
1. His current height in inches is 42, so he needs to grow to reach at least 48 inches. This can be expressed as:
[tex]\[ 42 + h \geq 48 \][/tex]
2. To find [tex]\( h \)[/tex], we solve the inequality:
[tex]\[ 42 + h \geq 48 \][/tex]
3. Subtract 42 from both sides of the inequality:
[tex]\[ h \geq 48 - 42 \][/tex]
4. Calculate:
[tex]\[ h \geq 6 \][/tex]
So, Li's little brother needs to grow at least 6 inches to be able to ride the roller coaster. The correct inequality from the given options is:
[tex]\[ 48 \leq h + 42 \][/tex]
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