Question

1. the table shows the record low temperatures in degrees fahrenheit for several states in the united states. use the table to answer parts (a)-(c).

state	record low temperature (°f)
arizona	-40
colorado	-61
florida	-2
washington	-48
hawaii	12
california	-45
maine	-50

a. does maine or california have the colder record low temperature? explain.

b. explain the meaning of $-80 < -40$ in this situation.

c. order the states from warmest record low temperature to coldest record low temperature.

for problems 5 and 6, order the rational numbers from least to greatest.

1. $-3.11, -3.1, -3.01$

1. $0, -\frac{4}{3}, \frac{1}{5}, -0.2$

Explanation:

Step1: Identify temperatures for (a)

Maine: -50°F, California: -45°F

Step2: Compare values for (a)

-50 < -45, so Maine is colder

Step3: Interpret inequality for (b)

-80°F (Alaska) < -40°F (Arizona) means Alaska’s low is colder

Step4: Order temps for (c)

12 (HI) > -2 (FL) > -40 (AZ) > -45 (CA) > -48 (WA) > -50 (ME) > -61 (CO) > -80 (AK)

Step5: Order numbers for 5

-3.11 < -3.1 < -3.01

Step6: Convert & order for 6

-4/3 ≈ -1.333, 1/5=0.2, so -4/3 < -0.2 < 0 < 1/5

Answer:

a. Maine has the colder record low temperature because -50°F < -45°F.
b. -80°F (Alaska's record low) is colder than -40°F (Arizona's record low).
c. Hawaii, Florida, Arizona, California, Washington, Maine, Colorado, Alaska

1. -3.11, -3.1, -3.01
2. $-\frac{4}{3}$, -0.2, 0, $\frac{1}{5}$