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Answer :
To solve the problem of finding out how many inches Li's little brother must grow to ride the roller coaster, we can follow these steps:
1. Understand the Problem:
- Riders must be at least 48 inches tall to ride the roller coaster.
2. Current Height Conversion:
- Li's little brother's current height is given as 3 feet 6 inches.
- To convert his height to inches:
- 1 foot = 12 inches, so 3 feet = [tex]\(3 \times 12 = 36\)[/tex] inches.
- Adding the 6 inches, his total height is [tex]\(36 + 6 = 42\)[/tex] inches.
3. Set Up the Inequality:
- We need to find out how many more inches he needs to grow. Let's call the number of inches he needs to grow [tex]\(h\)[/tex].
- To be eligible for the ride, his height plus his growth in inches should be at least 48 inches.
- So, we can write the inequality as:
[tex]\[
42 + h \geq 48
\][/tex]
4. Solve the Inequality:
- To solve for [tex]\(h\)[/tex], subtract 42 from both sides of the inequality:
[tex]\[
h \geq 48 - 42
\][/tex]
[tex]\[
h \geq 6
\][/tex]
- This tells us he needs to grow at least 6 inches to be able to ride the roller coaster.
5. Identify the Inequality Choice:
- In the given options, the inequality [tex]\(48 \leq h + 42\)[/tex] matches the setup that reflects the situation where his height plus growth meets the required minimum height.
Thus, Li's brother must grow at least 6 inches, and the correct inequality to find this is [tex]\(48 \leq h + 42\)[/tex].
1. Understand the Problem:
- Riders must be at least 48 inches tall to ride the roller coaster.
2. Current Height Conversion:
- Li's little brother's current height is given as 3 feet 6 inches.
- To convert his height to inches:
- 1 foot = 12 inches, so 3 feet = [tex]\(3 \times 12 = 36\)[/tex] inches.
- Adding the 6 inches, his total height is [tex]\(36 + 6 = 42\)[/tex] inches.
3. Set Up the Inequality:
- We need to find out how many more inches he needs to grow. Let's call the number of inches he needs to grow [tex]\(h\)[/tex].
- To be eligible for the ride, his height plus his growth in inches should be at least 48 inches.
- So, we can write the inequality as:
[tex]\[
42 + h \geq 48
\][/tex]
4. Solve the Inequality:
- To solve for [tex]\(h\)[/tex], subtract 42 from both sides of the inequality:
[tex]\[
h \geq 48 - 42
\][/tex]
[tex]\[
h \geq 6
\][/tex]
- This tells us he needs to grow at least 6 inches to be able to ride the roller coaster.
5. Identify the Inequality Choice:
- In the given options, the inequality [tex]\(48 \leq h + 42\)[/tex] matches the setup that reflects the situation where his height plus growth meets the required minimum height.
Thus, Li's brother must grow at least 6 inches, and the correct inequality to find this is [tex]\(48 \leq h + 42\)[/tex].
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