- It will take the balloon 0.663secs to drop to below 215 feet
- The liquid can stay in the cooler is at most 10.1 minutes
- The gopher's original position, p, relative to the surface is greater than 2 (p>2)
- The inequality expression that Robbie can use to determine how many shirts, s, he can buy is 10.50s + 21.95≤65.
Q1) If 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, if the balloon drops below 215 feet, the required time is calculated as:
[tex]t=\frac{-412\times 215}{1000}\\t=\frac{-88,580}{1000}\\t=-88.58ft/secs[/tex]
Get the required time;
[tex]Time=\frac{dist}{speed}\\Time=\frac{215}{-88+412}\\Time=\frac{215}{324}\\Time= 0.663secs[/tex]
Hence it will take the balloon 0.663secs to drop to below 215 feet
Q2) Given the following parameters
The temperature that the liquid must stay > 60.4°F
The starting point of the liquid = 90.7°F
Reduction in temp = 3°F per minute
Number of minutes the liquid can stay = [tex]\frac{90.7-60.4}{3} =10.1mins[/tex]
This shows that the liquid can stay in the cooler is at most 10.1 minutes
Q3) Starting point of the gopher = p
After digging, the distance = 3p
If the digger then climbs straight down another 2 feet and final position deeper than 8 feet under the surface, the required inequality will be:
3p + 2 >8
3p > 8 - 2
3p > 6
p > 2
Hence the gopher's original position, p, relative to the surface is greater than 2 (p>2)
Q4) Let the number of pair of shoes needed be "p"
Let the price of the pair of shirts be "s"
If he wants to buy a pair of shoes for $21.95 and some shirts that cost $10.50 each, this is expressed as 10.50s + p
Since Robbie has no more than $65.00 to spend, the inequality expression will become 10.50s + p≤65.
Since p = $21.95, the final inequality expression will be 10.50s + 21.95≤65.
Learn more on inequality here: https://brainly.com/question/24372553
