Danica conducts a science experiment with a mixture that freezes at temperatures of
-20°F and below. Danica wants to cool this mixture down, but does not want it to
freeze.
⚫ She puts the mixture into a freezer that will lower its temperature by 3.5°F
every hour.
• When she puts the mixture into the freezer, its temperature is 22°F.
Which inequality matches how long, in h hours, Danica could leave this mixture in the
freezer before it starts to freeze?
A 22-3.5h<-20
B 3.5h-22-20
с 22-3.5h>-20
D 22-3.5h2-20
give me a reasoning
The temperature of the mixture is initially 22°F. If the temperature decreases by 3.5°F every hour in the freezer, we can represent the temperature of the mixture as 22 - 3.5h, where h is the number of hours the mixture has been in the freezer.
The mixture freezes at temperatures of -20°F and below. So, to find out how long Danica could leave the mixture in the freezer before it starts to freeze, we need to set up an inequality.
Since the mixture should not freeze, the temperature of the mixture should remain above -20°F. So, the inequality should be:
22 - 3.5h > -20
Therefore, the correct inequality is:
C. 22 - 3.5h > -20