A population of bacteria decreases as a result of a chemical treatment. The population hours after the treatment was applied can be modeled by the function , where .
What was the population when the chemical was first applied?
What is the rate of population decrease?
Which is a higher annual rate and by how much: per year compounded weekly or per year compounded quarterly?
Different solutions were prepared by pouring different amounts of a blue ink in a beaker and adding water to obtain 250 mL of solution. Using a light source and a light detector, the light transmitted through the beaker was measured as a function of the concentration of the solution. The given figure shows the corresponding data for the transmittance as a percentage. A concentration of 0 corresponds to pure water, and the measured value of light transmitted through the beaker containing only water was used as reference to work out the transmittance as a percentage.
Which of the following expressions for the transmittance percentage as a function of the concentration in molars (M) does NOT correspond to the graph?
Giving your answer accurate to two significant figures, calculate the solution concentration that gives a transmittance of .