Question

City A’s crime rate can be modeled by the formula c(t) = 8.4t + 791 and its population can be modeled by p(t) = 1134t + 60,968, where t is the number of years since 2000. Write a new function r(t) to represent the city’s crime rate per capita (per person) for t years since 2000 (hint: the rate is a ratio of the part to the whole).
Answer

r(t) = (1134t + 60,968) / (8.4t + 791)

r(t) = (8.4t + 791) / (1134t + 60,968)

r(t) = (1134t + 60,968) • (8.4t + 791)

r(t) = 1142.4t + 61, 489