Question

The label on the car's antifreeze container claims to protect the car between -30°C and 130°C. To convert Celsius temperature to Fahrenheit temperature, the formula is

F= 59C+32. Write and solve the inequality to determine the Fahrenheit temperature range at which this antifreeze protects the car.
A) -22°F < F < 266°F
B) -40°F < F < 266°F
C) -22°F < F < 122°F
D) -40°F < F < 122°F

Answer 1

To find the Fahrenheit temperature range the antifreeze protects the car, the temperatures -30°C and 130°C were converted to Fahrenheit, resulting in -22°F and 266°F respectively. The correct range is -22°F < F < 266°F.

Step-by-step explanation:

The student needs to convert the Celsius temperatures to Fahrenheit to find out the range at which the antifreeze protects the car. The given temperatures in Celsius are -30°C and 130°C, and the conversion formula is F = 9/5C + 32. Let's apply the formula to both temperatures:

For -30°C:
F = 9/5(-30) + 32
F = -54 + 32
F = -22°F

For 130°C:
F = 9/5(130) + 32
F = 234 + 32
F = 266°F

The Fahrenheit temperature range is therefore -22°F < F < 266°F. Thus, the correct option is A) -22°F < F < 266°F.