Solve the problem.A basement is flooded with 230 cubic feet of water. Water can be pumped out of the basement at a rate of 47 cubic feet of water per hour. Let f(t) represent the number of cubic feet of water that remains in the basement after t hours of pumping out water.i) Find an equation for f.ii) Find t when f(t) = 0. What does your result mean in terms of the situation?iii) What is the domain and range of the model? Explain.

What will be an ideal response?


i)f(t) = -47t + 230
ii) 4.89; It takes 4.89 hours to pump out all the water.
iii) domain 0 ? x ? 4.89; range 0 ? x ? 230

Mathematics

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