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?(1) Locusts are grasshoppers that form dense swarms covering hundreds of square miles. A swarm of locusts will consume the leaves and stems of plants within its path, including plants grown by farmers. For example, a swarm that formed in West Africa during 2003 caused a staggering 2.5 billion dollars of agricultural damage. The ability to predict a swarm can help people prepare-for and respond to this emergency. For a swarm to occur, a population of locusts must grow very quickly within a single year. The growth of a population depends on the time required for each locust to develop from egg to adult. If locusts can develop in fewer than 40 days, the population will likely reach a size that triggers a swarm. The following linear model describes the relationship between temperature and development time of a locust:
development time =-2.4d\deg C^(-1) (temperature) 132dGiven a temperature of
40\deg C, which number of days is closest to the expected development time? a. 31 b. 36 c. 41 d. 46 e. I do not know the answer.