Model with Two-Step Inequalities: Quiz! (please help lol)
Q1. A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.

How many seconds, s, will it take for the balloon to drop to below 215 feet?

Drag and drop a symbol and value to correctly complete the solution to this inequality.
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QUESTION 2. For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.

How many minutes can the liquid can stay in the cooler?

Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler _____ minutes.
Choose..."At most 10.1", "More then 10.1", "At least 10.1" or "Fewer than 10.1"
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QUESTION 3. A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.

What was the gopher's original position, p, relative to the surface?

Enter your answer to complete the inequality.
p
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Q4. Robbie is going shopping. He has no more than $65.00 to spend. He wants to buy a pair of shoes for $21.95 and some shirts that cost $10.50 each.

Which inequality can Robbie use to determine how many shirts, s, he can buy?
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The time taken by the balloon to drop to below 215 feet is 1.9 seconds, the liquid can stay in the cooler for 10.1 min, the gopher's original position, p, relative to the surface is 2.5 feet, and Robbie can buy 4 shirts.

1)

Given :

A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.

The time taken by the balloon to drop to below 215 feet is given by:

[tex]\rm t =\dfrac{1000-215}{412}[/tex]

[tex]\rm t = \dfrac{785}{412}=1.8 \; sec[/tex]

So, the time taken by the balloon to drop to below 215 feet is 1.9 seconds.

2)

Given :

The temperature of a liquid must stay above 60.4°F.
The starting temperature of the liquid is 90.7°F.
It is placed in a cooler, which lowers its temperature by 3°F each minute.

The linear equation that represents the given situation is:

60.4 = 90.7 - 3t

where t is the time (minutes) liquid can stay in the cooler.

Simplify the above equation in order to determine the value of 't'.

3t = 30.3

t = 10.1 min

So, the liquid can stay in the cooler for 10.1 min.

3)

Given :

A gopher lives in an underground burrow.
It starts at a certain point, p, underground and digs straight down to triple its distance under the surface.
It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.

The linear equation that represents the given situation is:

4p - 2 = 8

Simplify the above equation.

p = 2.5 feet

So, the gopher's original position, p, relative to the surface is 2.5 feet.

4)

Given :

Robbie is going shopping. He has no more than $65.00 to spend.
He wants to buy a pair of shoes for $21.95 and some shirts that cost $10.50 each.

Let the total number of shirts Robbie buy be 's'. So the inequality that represents this situation is:

[tex]\rm 21.95 + 10.50\;s \leq 65[/tex]

Simplify the above inequality.

10.50 s [tex]\leq[/tex] 43.05

s [tex]\leq[/tex] 4.1

So, Robbie can buy 4 shirts.

For more information, refer to the link given below:

https://brainly.com/question/21835898