A new toilet model has two different flush settings in order to conserve water. One setting uses 1.6 gallons per flush and the other setting uses .8 gallons per flush. The total amount of water w (in gallons) used in the first setting is given by the equation w=1.6f where f is the number of times the toilet is flushed. The total amount of water used in the second setting is given by the equation w=.8f.

A) Graph both equations in the same coordinate plane. What do the slopes and the w intercepts mean in this sisuation?

B) How much more water is used by the first setting if the toilet is flushed ten times.

1 answer

these are both straight lines through the origin (intercepts both = 0), one with slope 1.6 g/flush and the second with slope 0.8 g/flush

w = 1.6*10 = 16 gal
w = 0.8*10 = 8 gal
16 - 8 = 8 gal more