A shop has determined that the number of bottles of water they sell on a summer day is a function of the day’s high temperature, and is approximately given by () = 5 + 12, where is the day’s high temperature, and 80 ≤ ≤ 110. Suppose that the predicted high temperatures for the next 7 days are given in the table below.
a) Express the high temperature as a function of High temperature, (degrees F)

                 Where T is the hight temperature and t is the day

Explanation:

The table shows that every day the High temperature, T (degrees F) increases 1 unit.

Then, this is a linear function with slope = 1ºF / day.

You can use the point-slope equation to determine the function of the high temperature:

Substitute:

Make the variables  y = T, and x = t:

12cm

the answer is d

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c