Question

in a public swimming pool, 250,000 gallons of water are being drained at a rate of 200 gallons per minute. the function ( g = -200m + 250,000 ) represents how many gallons remain in the pool ( g ) after any number of minutes ( m ). how many more gallons remain after 5 minutes than after 20 minutes?

Explanation:

Step1: Calculate g at 5 minutes

Substitute $m=5$ into $g=-2000m+250000$
$g_5 = -2000(5) + 250000 = -10000 + 250000 = 240000$

Step2: Calculate g at 20 minutes

Substitute $m=20$ into $g=-2000m+250000$
$g_{20} = -2000(20) + 250000 = -40000 + 250000 = 210000$

Step3: Find the difference

Subtract $g_{20}$ from $g_5$
$g_5 - g_{20} = 240000 - 210000$

Answer:

30000 gallons