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Answer :
To solve the problem of finding how many inches Li's little brother must grow to be able to ride the roller coaster, let's follow these steps:
1. Determine the Current Height in Inches:
Li's little brother is 3 feet 6 inches tall.
Since 1 foot equals 12 inches, we first convert the height in feet to inches:
[tex]\[
3 \text{ feet} \times 12 \text{ inches/foot} = 36 \text{ inches}
\][/tex]
Add the remaining 6 inches to this total:
[tex]\[
36 \text{ inches} + 6 \text{ inches} = 42 \text{ inches}
\][/tex]
So, his current height is 42 inches.
2. Find Out How Tall He Needs to Be:
Riders must be at least 48 inches tall to go on the roller coaster.
3. Calculate How Many Inches He Needs to Grow:
To determine how many more inches Li's brother must grow, subtract his current height from the required height:
[tex]\[
48 \text{ inches} - 42 \text{ inches} = 6 \text{ inches}
\][/tex]
Therefore, Li's brother needs to grow 6 inches more to meet the height requirement.
4. Set Up the Inequality:
To express this situation as an inequality, we need to ensure his current height plus some growth [tex]\( h \)[/tex] will be greater than or equal to 48 inches.
The inequality that represents this is:
[tex]\[
48 \geq h + 42
\][/tex]
Thus, the inequality [tex]\( 48 \geq h + 42 \)[/tex] correctly represents the number of inches Li's brother must grow to ride the roller coaster.
1. Determine the Current Height in Inches:
Li's little brother is 3 feet 6 inches tall.
Since 1 foot equals 12 inches, we first convert the height in feet to inches:
[tex]\[
3 \text{ feet} \times 12 \text{ inches/foot} = 36 \text{ inches}
\][/tex]
Add the remaining 6 inches to this total:
[tex]\[
36 \text{ inches} + 6 \text{ inches} = 42 \text{ inches}
\][/tex]
So, his current height is 42 inches.
2. Find Out How Tall He Needs to Be:
Riders must be at least 48 inches tall to go on the roller coaster.
3. Calculate How Many Inches He Needs to Grow:
To determine how many more inches Li's brother must grow, subtract his current height from the required height:
[tex]\[
48 \text{ inches} - 42 \text{ inches} = 6 \text{ inches}
\][/tex]
Therefore, Li's brother needs to grow 6 inches more to meet the height requirement.
4. Set Up the Inequality:
To express this situation as an inequality, we need to ensure his current height plus some growth [tex]\( h \)[/tex] will be greater than or equal to 48 inches.
The inequality that represents this is:
[tex]\[
48 \geq h + 42
\][/tex]
Thus, the inequality [tex]\( 48 \geq h + 42 \)[/tex] correctly represents the number of inches Li's brother must grow to ride the roller coaster.
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