Question

The sale of sweaters in a town changes with the temperature. If a statistical model predicts that daily sales (in dollars) are determined by the function s = 900 − 100t, where t is the temperature (in degrees Celsius), what is the temperature if sweater sales are at $1,200?

Answer 1

We can solve this algebraically.
The sales of the sweater are at $1200, that is s = 1,200. Substitute it to the given function as
1200 = 900 - 100t

Solving for t,
100t = 900 - 1200
100t = -300
t = -3

Therefore the temperature is -3°C.