We are told that the function models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.
To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.
Upon substituting t=0 in our function we will get,
Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.
To calculate the final population of the insects, you need to first insert the values of each variable you know into the equation. The initial population at time would be 100 insects, the rate of population growth coverted to decimal form would be 0.1, and the elapsed time since time is 7 days. Now the new equation would be .
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You will have 201 insects in 7 days (rounded to the nearest insect).