Question

1. the minimum height to go on the shooting star ride is 4 foot 6 inches. write an inequality using the variable h which describes the height needed to go on the ride. 5) newton is going on a class trip. he can take a maximum of $10 spending money. write an inequality using the variable s which describes the amount of spending money he can take. 6) sally has a 1 - liter water bottle of water. she drinks more than half the water. write an inequality using the variable y which describes how much water is left in the bottle.

Explanation:

4)

Step1: Analyze the minimum height condition

The minimum height means \(h\) should be greater than or equal to \(4.6\) (since \(4\) foot \(6\) inches \(= 4 + \frac{6}{12}=4.6\) feet).
\(h\geq4.6\)

5)

Step1: Analyze the maximum spending money condition

The maximum of \(\$10\) means \(s\) should be less than or equal to \(10\).
\(s\leq10\)

6)

Step1: Find the amount of water drunk

Half of \(1\) - liter is \(0.5\) liters. She drinks more than \(0.5\) liters. Let the amount of water left be \(y\). Then \(y=1 - \text{amount drunk}\). Since \(\text{amount drunk}>0.5\), we have \(y < 1 - 0.5\)
\(y<0.5\)

Answer:

1. \(h\geq4.6\)
2. \(s\leq10\)
3. \(y<0.5\)