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?

Question

Mathematics

Brayan Frank

21 December, 06:12

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?

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Answers (1)

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Ismael Colon · 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.