Linear Equation Pool Filling and Apple Pickers Questions
1. 1) A pool already has 400 gallons in it. It is
being filled at a rate of 50 gallons per minute.
Write an expression that gives the gallons of
water in the pool as a function of time.
2) An Olympic size pool holds a half a
million gallons. It is being emptied at a rate
of 60 gallons per minute. Write an expression
that gives the gallons of water in the pool as a
function of time.
3a) A fast apple picker gets $20/hour. Write
an expression of her pay as a function of
time. Graph the equation. Label the graph.
3b) A new apple picker earns $10/hour. He
receives $50 extra the first day for being a
new hire. Write an expression of his pay as a
function of time. Graph the equation on the
same graph as #3a.
3c) Analyze the graph in words. Determine
when the apple pickers earned the same
amount. Describe before they earn the same
and after they make the same.