Aweather forecaster predicts that the temperature in antarctica will decrease 8°f each hour for the next 6 hours. write and solve an inequality to determine how many hours tt it will take for the temperature to drop at least 36°f.

Let us suppose it will take t hours for the temperature to drop at least 36°F.

We have been given that temperature in Antarctica will decrease 8°F each hour for the next 6 hours.

And we have to find the time to drop the temperature to at least 36°F. At least means greater than equal to.

Therefore, we have the below inequality

Now, we solve the inequality.

Divide both sides by 8, we get

Hence, it will take atleast 4.5 hours to drop the temperature to 36°F.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.