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Yosemite National Park charges $7 per person for an all day admission to the park. The total cost for n people to go to the park all day is given by the expression 7n. 8 friends go to the park on Saturday. What is the total cost of admission? We want to evaluate f(n) = 7n for n = 8 f(8) = 7(8) = 56

Given g(a)=a² - 2a - 1 and f(x)=x² - 2x: Find: a) f(a+2) - f(a)/2 b) g(a+h) - g(a)/h a) f(a + 2) = (a + 2)^2 - 2(a + 2) f(a + 2) = a^2 + 2a + 4 - 2a - 4 Simplify and combine like terms: the 2a and 4's cancel, so we have: f(a + 2) = a^2 f(a)/2 = (a^2 - 2a)/2 Subtract one from the other...

The population of goats on a particular nature reserve t years after the initial population was settled is modeled by p(t) = 4000 - 3000e^-0.2t. How many goats were initially present? Initially present means at time 0. Substituting t = 0, p(0), we get: p(0) = 4000 - 3000e^-0.2(0) p(0) = 4000 -...

Ina has $40 in her bank account and saves $8 a week. Ree has $200 in her bank account and spends $12 a week. Write an equation to represent each girl. Let w equal the number of weeks, and f(w) be the amount of money in the account after w weeks: Ina: f(w) = 40 + 8w We add because Ina saves...

Set up a function where t is the number of hours driven, and f(t) is the distance driven after t hours: f(t) = 9t

Let d be distance and h be hours in time. Set up our function. f(h) = d f(h) = 5h Read this out, it says, for every hour Diego jogs, multiply that by 5 to get the distance he jogs.

p(t)=6t represent the number of people p(t) that a number of turkeys can feed at Thanksgiving. How many people can 6 turkeys feed? Plug in t = 6 p(6) = 6(6) p(6) = 36