The population of termites in a building can be determined using the equation , where is the initial population of the termites and is the number of days that termites have been in the building. If the number of termites in a certain building is currently , how many days have termites been in that building?

A virus has recently been discovered in the country of Jarvia, and scientists project that the number of people infected by the virus doubles every 3 days. What is the ratio of the number of people who are infected today to the number of people who will be infected 9 days from now?

A certain manufacturer of children's toys sells 20% of its starting inventory for the month over the course of each month. If the company manufactures 10,000 units of inventory at the start of the year and does not manufacture any additional units throughout the year, how many toys remain in the manufacturer's inventory at the end of April of that year?

Upon discovering a tree virus in British Columbia, scientists created a model to predict the tree population in a certain forest: , where represents he number of trees after months since the virus's discovery, and represents the original number of trees that existed in the forest when the scientists made the discovery. Assuming that the model is correct, in which of the following years will the number of trees lost be the greatest?

A particular variety of water pothos grows by 25% of its current volume each month. If a fish tank contains 64 ounces of pothos at the beginning of March, what volume of pothos will the tank contain at the end of May?

The potential energy of a spring, in joules, is given by the equation where is a constant and is the distance the spring is stretched. If and the sprint is stretched to 2 feet and then to 3 feet, how much potential energy, in joules, is gained by the spring from the moment it is stretched 2 feet to the moment it is stretched 3 feet?

On a carousel ride, riders can choose to sit on horses in four zones: zone 1 is closest to the center of the carousel, and zone 4 is the closest to the outer edge. The rate of speed of each horse is defined by the equation , where is the speed that the ride operator sets for the ride as a whole and represents the zone that the horse is in. If Kenneth is sitting on a horse in Zone 1 and Tamara is sitting on a horse in Zone 4, what is the ratio of the speeds of Tamara to Kenneth during the ride?

A mobile app video game has gone viral, with its number of users tripling each day for the past several weeks. What is the ratio of its number of users today to its number of users exactly one week ago?

A particular ball always bounces back to of the height of its previous bounce after being dropped. After the first bounce it reaches a height of 625 millimeters. Approximately how high (in inches) will it reach after its fifth bounce?

A virus has begun spreading through the country of Montrovia. Scientists calculate that the number of infected people doubles every two days. If 64,000 Montrovians have been infected with the virus as of today, how many days has it been since there were 500 people infected with the virus in Montrovia?