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Answer :
Sure! Let's go through this step-by-step to understand how to solve the problem.
1. Converting Li's brother's height to inches:
- Li's little brother is 3 feet 6 inches tall.
- Since 1 foot is equal to 12 inches, we first convert the feet into inches:
[tex]\[
3 \text{ feet} \times 12 \text{ inches per foot} = 36 \text{ inches}
\][/tex]
- Next, add the 6 inches to get the total height in inches:
[tex]\[
36 \text{ inches} + 6 \text{ inches} = 42 \text{ inches}
\][/tex]
2. Determining how many inches he needs to grow:
- Riders must be at least 48 inches tall to ride the roller coaster.
- Li's little brother is currently 42 inches tall.
- To find out how many more inches he must grow to meet the requirement, subtract his current height from the required height:
[tex]\[
48 \text{ inches} - 42 \text{ inches} = 6 \text{ inches}
\][/tex]
3. Setting up the inequality:
- We need an inequality to find how many inches he must grow. Here, [tex]\( h \)[/tex] represents his height after growing, and he needs to be at least 48 inches tall:
[tex]\[
48 \geq h - 42
\][/tex]
- This inequality shows that if we add what he needs to grow, the resulting height should be at least 48 inches.
Therefore, the correct inequality to determine how many inches Li's little brother must grow to ride the roller coaster is [tex]\( 48 \geq h - 42 \)[/tex].
1. Converting Li's brother's height to inches:
- Li's little brother is 3 feet 6 inches tall.
- Since 1 foot is equal to 12 inches, we first convert the feet into inches:
[tex]\[
3 \text{ feet} \times 12 \text{ inches per foot} = 36 \text{ inches}
\][/tex]
- Next, add the 6 inches to get the total height in inches:
[tex]\[
36 \text{ inches} + 6 \text{ inches} = 42 \text{ inches}
\][/tex]
2. Determining how many inches he needs to grow:
- Riders must be at least 48 inches tall to ride the roller coaster.
- Li's little brother is currently 42 inches tall.
- To find out how many more inches he must grow to meet the requirement, subtract his current height from the required height:
[tex]\[
48 \text{ inches} - 42 \text{ inches} = 6 \text{ inches}
\][/tex]
3. Setting up the inequality:
- We need an inequality to find how many inches he must grow. Here, [tex]\( h \)[/tex] represents his height after growing, and he needs to be at least 48 inches tall:
[tex]\[
48 \geq h - 42
\][/tex]
- This inequality shows that if we add what he needs to grow, the resulting height should be at least 48 inches.
Therefore, the correct inequality to determine how many inches Li's little brother must grow to ride the roller coaster is [tex]\( 48 \geq h - 42 \)[/tex].
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