The temperature of a weather station was 12.8 °F at midnight and fell 1.4 °F each hour for six hours. Which of the following solutions are viable for (h, T) where h is the number of hours after midnight and T is the temperature in degrees Fahrenheit?

Let's try to find a linear relation like:

T(h) = a*h + b

where a is the slope and b is the y-intercept.

h is the number of hours after midnight.

T is the temperature at the time defined by h.

We know that at midnight, the temperature is 12.8°F.

At midnight, we have h = 0, then:

T(0) = a*0 + b = 12.8°F

       b = 12.8°F

Now we know that our function is:

T(h) = a*h + 12.8°F

We also know that the temperature fell 1.4 °F each hour for six hours.

Then the slope will be -1.4°F

We can write the linear relationship as:

T(h) = -1.4°F*h + 12.8°F     (for 0 ≤ h ≤ 6)

Where we have a restriction in the possible values of h, because we know that this model only works for six hours after midnight,

the least value out of the data shown is 5, maybe if you post a picture with it i could a little more.

step-by-step explanation:

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!