Question

An artist completed an ice sculpture when the temperature was -10 degrees Celsius. The equation t = 1.25h - 10 shows the temperature h hours after the sculpture's completion. If the artist completed the sculpture at 8:00 AM, at what time will it begin to melt (melting point of water is 0 degrees)?

3:00 PM
4:00 PM
5:00 PM
6:00 PM

Answer 1

The temperature of the ice sculpture will reach 0 degrees Celsius 8 hours after its completion. Since it was completed at 8:00 AM, it will begin to melt at 4:00 PM.

Step-by-step explanation:

The equation given is t = 1.25h - 10, where t represents the temperature in degrees Celsius h hours after the completion of the sculpture. To find when the sculpture will begin to melt (hit 0 degrees Celsius), we set the equation equal to 0 and solve for h: 0 = 1.25h - 10.

Add 10 to both sides to isolate the term with h on one side: 10 = 1.25h.

Now, divide both sides by 1.25 to solve for h: h = 8 hours after the sculpture's completion.

Since the sculpture was completed at 8:00 AM, we add 8 hours to this time to determine the melting time. Therefore, the sculpture will begin to melt at 4:00 PM.