We appreciate your visit to On vacation Li s family will be visiting an amusement park Riders must be at least 48 inches tall to go on the roller coaster. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To determine how many inches Li's little brother must grow to ride the roller coaster, we can start by comparing his current height and the required height.
1. Understand the Height Requirement:
- The minimum height to ride the roller coaster is 48 inches.
2. Convert Li's Little Brother's Height:
- Li's little brother is 3 feet 6 inches tall.
- Since 1 foot equals 12 inches, we first convert his height in feet to inches.
- [tex]\(3 \text{ feet} \times 12 \text{ inches/foot} = 36 \text{ inches}\)[/tex]
- Add the additional 6 inches: [tex]\(36 + 6 = 42 \text{ inches}\)[/tex]
3. Determine How Many Inches He Must Grow:
- We need to find out how many more inches are needed for him to reach the required height of 48 inches.
- Subtract his current height from the required height: [tex]\(48 - 42 = 6 \text{ inches}\)[/tex]
4. Set Up the Inequality:
- To find the number of inches Li's little brother needs to grow, we use the inequality where his current height plus the growth needs to be greater than or equal to the required height:
- The inequality is: [tex]\(48 \leq h + 42\)[/tex]
So, the correct inequality to find out how many inches he must grow is [tex]\(48 \leq h + 42\)[/tex]. This inequality helps us express that his current height plus the additional growth should be at least 48 inches.
1. Understand the Height Requirement:
- The minimum height to ride the roller coaster is 48 inches.
2. Convert Li's Little Brother's Height:
- Li's little brother is 3 feet 6 inches tall.
- Since 1 foot equals 12 inches, we first convert his height in feet to inches.
- [tex]\(3 \text{ feet} \times 12 \text{ inches/foot} = 36 \text{ inches}\)[/tex]
- Add the additional 6 inches: [tex]\(36 + 6 = 42 \text{ inches}\)[/tex]
3. Determine How Many Inches He Must Grow:
- We need to find out how many more inches are needed for him to reach the required height of 48 inches.
- Subtract his current height from the required height: [tex]\(48 - 42 = 6 \text{ inches}\)[/tex]
4. Set Up the Inequality:
- To find the number of inches Li's little brother needs to grow, we use the inequality where his current height plus the growth needs to be greater than or equal to the required height:
- The inequality is: [tex]\(48 \leq h + 42\)[/tex]
So, the correct inequality to find out how many inches he must grow is [tex]\(48 \leq h + 42\)[/tex]. This inequality helps us express that his current height plus the additional growth should be at least 48 inches.
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