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Answer :
Sure! Let's solve the problem step-by-step.
1. Understand the Problem:
- Li wants to find out how much his little brother needs to grow to be able to ride the roller coaster.
- The roller coaster requires riders to be at least 48 inches tall.
- Li's little brother is currently 3 feet 6 inches tall.
2. Convert Li's Brother's Height to Inches:
- Since 1 foot is equal to 12 inches, first convert the height in feet to inches.
- Li's brother is 3 feet 6 inches tall. Convert 3 feet to inches:
[tex]\[
3 \text{ feet} = 3 \times 12 = 36 \text{ inches}
\][/tex]
- Add the additional 6 inches for his height:
[tex]\[
36 \text{ inches} + 6 \text{ inches} = 42 \text{ inches}
\][/tex]
- Li's brother is a total of 42 inches tall.
3. Create an Inequality:
- We need an inequality that expresses how much more Li's brother needs to grow.
- He needs to reach a height of at least 48 inches, so we want to ensure his current height plus any additional growth is at least this tall.
- Since his current height is 42 inches, the inequality we can set up is:
[tex]\[
48 \leq h + 42
\][/tex]
- This shows that his height (42 inches) plus any additional inches (`h`) he needs must be at least 48 inches.
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]
1. Understand the Problem:
- Li wants to find out how much his little brother needs to grow to be able to ride the roller coaster.
- The roller coaster requires riders to be at least 48 inches tall.
- Li's little brother is currently 3 feet 6 inches tall.
2. Convert Li's Brother's Height to Inches:
- Since 1 foot is equal to 12 inches, first convert the height in feet to inches.
- Li's brother is 3 feet 6 inches tall. Convert 3 feet to inches:
[tex]\[
3 \text{ feet} = 3 \times 12 = 36 \text{ inches}
\][/tex]
- Add the additional 6 inches for his height:
[tex]\[
36 \text{ inches} + 6 \text{ inches} = 42 \text{ inches}
\][/tex]
- Li's brother is a total of 42 inches tall.
3. Create an Inequality:
- We need an inequality that expresses how much more Li's brother needs to grow.
- He needs to reach a height of at least 48 inches, so we want to ensure his current height plus any additional growth is at least this tall.
- Since his current height is 42 inches, the inequality we can set up is:
[tex]\[
48 \leq h + 42
\][/tex]
- This shows that his height (42 inches) plus any additional inches (`h`) he needs must be at least 48 inches.
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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