Question

Suppose that the predicted high temperatures for the next 7 days Express the high temperature 1. given in the table below. are as a function of the day t (day) High temperature, H (degrees F 95 1 2 96 3 97 98 5 99 100 6 7 101 A local 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 N = 5H 12, where H is the day's high temperature Use your earlier function and the information given to create a new function that represents the number of bottles of water sold, N, function of the day, t as a Pick one ordered pair on the graph of the new function, and explain what it tells you in practical terms LO C

Answer 1

As the temperature is increasing one step at a time, with the days, it can be modelled as the sum of a constant and the number of that day.

Thus, on day 1, Temperature = 95

Therefore, the function is given by

H = t + 94

where H is the high temperature, and t is the number of days.

N = 5H + 12

N = 5*(t+94) + 12

N = 5t + 482

At t = 2, N = 492. Thus the ordered pair is (2,492)

It means that on day 2, when the temperature is 96, 492 bottles will be sold.