请问这道数学题怎么做啊？

In a colony of bacteria, the rate at which the number of bacteria grows increases linearly with time (i.e. the number of new bacteria produced per unit time increases proportionally with time). Initially at time t = 0 hour there are 5 million bacteria in the colony and the initial rate of bacteria produced is 1 million per hour. At time t = 5 hours, the growth rate of the bacteria has increased to 6 million bacteria per hour.
a. What is the growth rate of bacteria at t = 2 hours?
b. What is the total number of bacteria at time t = 5 hours?
c. What is the average number of bacteria produced every hour during this 5 hours interval?
一个细菌培养基 t=0的时候有5百万个细菌 过一个小时产生了1百万 然后t=5 的时候产生率为6百万一小时 t是时间 单位是小时

你们可以用google翻译啊

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