If g(x)=1.5x-3 ,determined if f(x) > g(x) when x = 4​

These are 8 questions and 8 answers.

Question 1) a deep sea exploring ship is pulling up a diver at the rate of 25 feet per minute. The diver is 200 feet below sea level. How deep was the diver 10 minutes ago?

Answer: 450 feet below see level ( -450 feet)

Explanation:

i) pulling up rate: 25 feet / minute

ii) number of feet ascended

iii) number of feet ascended in 10 minutes: 25 feet / minute × 10 minutes = 250 feet

iv) current deep: - 200 feet

v) deep 10 minutes ago: -200 feet - 250 feet = - 450 feet. Which means 450 feet below sea level.

Question2) if it is 5 outside and the temperature will drop 17 in the next six hours, how cold will it get?

Answer: - 12 (12 below zero)

Explanation:

i) Future temperaure = current temperature - decrease in temperature

ii) Future temperature = 5 - 17 = - 12, which means 12 below zero

Question3) Josie has $47 left on her checking account. If she writes a check for $55 what will Josie's balance be?

Answer: - $ 8 (she will owe 8$)

i) Balance = current balance - new checks

ii) Balance = $ 47 - $ 55 = - $8 (she will owe $ 8)

Question 4) Joe is playing a game with a regular die. If the number that turns up is even, he will gain 5 times the number that comes up. If it is odd, he will lose 10 times the number that comes up. He tosses a 3 express the results as an integer.

Answer: he will lose 30.

Explanation:

i) 3 is odd

ii) 1Therefore, the result is that he will lose 10 times the number that comes up

⇒ Loss = 10 × 3 = 30

Question 5) it will be -12 tonight. The weatherman predicts it will be 25 warmer by noon tomorrow. What will the temperature be by noon tomorrow?

Answer: 13

Explanation:

i) Current temperature: - 12

ii) Change foreseen: + 25 (increase)

iii) Foreseen temperature = - 12 + 25 = 13

Question 6) the average temperature at the South Pole is -45 F. The average temperature on the equator is 92 F. How much warmer is the average temperature on the equator than at the South Pole?

Answer: 137 F

Explanation:

i) Temperature at the South Pole = - 45F

ii) Temperature on the Equator = 92 F

iii) Difference in temperature = temperature on the Equator - temperature and the South Pole

iv) Difference in temperature = 92F - (-45F) = 92F + 45F = 137F

Remember the law of signs: ( - ) × ( - ) = +

∴ It is 137F warmer on the Equator than at the South Pole.

Question 7) Felix reported that the coldest day on record for his town was five times colder than yesterday's temperature, -4 c. What was the temperature of the coldest day on record in Felix's town?

Answer: - 20C

Explanation:

i) Yesterday's temperature = - 4°C

ii) Coldest day's temperature = 5 × (-4C) = - 20C

Conclusion: the coldest day's temperature is -20°.

Question 8) the elevation of mt. Everest is 29,028 feet. The elevation of the Dead Sea is -485 feet. What is the difference in the elevation between mt. Everest and the Dead Sea?

Answer: 29,513 feet

Explanation:

i) Elevation of Mt Everest = 29,028 feet

ii) Elevation of the Dead Sea = - 485 feet

iii) Difference in the elevation = Elevation of Mt Everest - elevation of the Dead Sea

iv) Difference in the elevation = 29,028 feet - ( - 485 feet) = 29,028 feet + 485 feet = 29,513 feet.

Remember the law of the signs: ( - ) × ( - ) = +

Answer:

1 hour and 45 minutes