contestada

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)

A shop has determined that the number of bottles of water they sell on a summer day is a function of the days high temperature and is approximately given by 5 1 class=

Respuesta :

Edufirst

Answer:

  •          [tex]T=t+94[/tex]

                 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:

  • Point-slope equation:

       [tex]y-y_1=m(x-x_1)[/tex]

  • Choose any point from the table and m = 1. I will use the first point (1,95)

  • m = 1
  • x₁ = 1
  • y₁ = 95

Substitute:

        [tex]y-95=1(x-1)\\\\y=x-1+95\\\\y=x+94[/tex]

Make the variables  y = T, and x = t:

     [tex]T=t+94[/tex]

a. The expression of the high temperature as a function of High temperature is T = t + 94.

Calculation of the expression:

since 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.

So, [tex]y - 95 = 1(x - 1)[/tex]

y = x - 1 + 95

y = x + 94

So, here y = T, x = t

So, the expression is T = t + 94

Learn more about expression here: https://brainly.com/question/10782441

Otras preguntas