Amachine in a shoe factory produces shoelaces. the number of shoelaces it produces is proportional to the time. it can produce twelve shoelaces in three minutes. write an equation to represent this proportional relationship. in your answer, make sure to define the variables you used.

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

The final cost of a sale is determined by multiplying the price on the tag by 75%. which best describes the function that represents the situation?