Compare problem 1&2. What similarities do you see? What difference do you notice?
1.Amount Savannah started with = 5 pennies
= $0.01 × 5
= $0.05
Additional amount per day = 3 pennies
= $0.01 × 3
= $0.03
Number of days = 10
Total savings in 10 days = 0.05 + 0.03(10)
= 0.05 + 0.3
= $0.35
Number of days it will take for her to have
at least $1.50 = 0.05 + 0.03d
1.50 - 0.05 = 0.03d
1.45 = 0.03d
d= 1.45 / 0.03
d=48.33333333333333
Approximately,
d= 48.33 days
2.f(t) = 2t + 5, where t is the time in minutes.We need to find the amount of water in the pool after 50 minutes
For t = 50 minutes
F(50) = 2(50) + 5
F(50) = 100 + 5
F(50) = 105 gallons
Also, we need to find the amount of time required to fill the pool.
1500 = 2t+ 5
1495 = 2t
t= 747.5 minutes
t= 12 hours 46 minutes