The population of a species of plant in a field is modelled using the formula P=50e0.1tP = 50e^{0.1t}P=50e0.1t Where t t\,t is the number of weeks since the population was first recorded.
Write down the number of the plants when the population was first recorded.
Find the rate of increase in the population 10 weeks after the population was first recorded.
Find how many weeks it takes for the number of plants to exceed 300.