Question

An artist completed an ice sculpture when the temperature was -10c the equation t=1.25h-10 shows the temperature h houses after the sculptures completion if the artist completed the sculpture at 8:00 a.m at what time will it begin to melt

Answer 1

The sculpture will begin to melt at 4:00 p.m., which is 8 hours after its completion.

Step-by-step explanation:

To find the time at which the sculpture begin to melt, we need to find the value of h when t becomes positive. Given the equation t = 1.25h -10, where t represents the temperature and h represents the number of hours after the sculpture's completion, we can set t equal to 0 and solve for h:

0 = 1.25h - 10

1.25h = 10

h = 10 / 1.25

h = 8

So, it will begin to melt 8 hours after the sculpture's completion, which means it will begin to melt at 4:00 p.m.

Answer 2

At 12 p.m in the mid night the sculpture will start to melt.

Step-by-step explanation:

The ice sculpture made at 8:00 a.m when the temperature was -10°c.

At temperature 0°c the sculpture will start to melt, so there is a difference of 10°c.

Now, the equation t =1.25h -10 gives the relation between the increase in temperature(t) with the number of hours(h) spent.

So, for t=10°, we have, 10 = 1.25h -10

⇒1.25 h=20

⇒ h= 16 hours.

So, the sculpture will take 16 hours to start melting.

Therefore, at 12 p.m at midnight, the sculpture will start to melt. (Answer)