Author Question: When a quantity of sugar is placed in a container of water, the sugar dissolves at a rate ... (Read 40 times)

iveyjurea · **on:** May 26, 2021

Question 1

A population of bacteria grows continuously at a rate of 15% of its current population. If there are 10,000 bacteria present initially, how many (to the nearest 100) will there be after four hours?
◦ 19,100
◦ 16,500
◦ 15,300
◦ 17,500
◦ 18,200

Question 2

When a quantity of sugar is placed in a container of water, the sugar dissolves at a rate proportional to the amount of sugar remaining undissolved. Suppose that 30 g of sugar is placed in 1 L of water and that 5 minutes later the concentration of sugar dissolved in the water is 25 g/L.
Find a formula for A(t), the amount of sugar that is dissolved t minutes after the sugar was placed in the water.
◦ A(t) = 30e^{-(t ln 6)} g
◦ A(t) = 30

g
◦ A(t) = 30e^{-(t ln 6)/5} g
◦ A(t) = 30

g
◦ A(t) = 30

g

cici · **Reply #1 on:** May 26, 2021

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