WRITING EXPONENTIAL FUNCTIONS FROM WORD PROBLEMS WORKSHEET

Problem 1 :

In January, the parks and Wildlife department released 267 bass into a newly constructed pond. Each month, the population of bass in the pond increases by 4.2%. At this rate of growth, what function can be used to determine the population of bass m months after January ?

Solution

Problem 2 :

A pyramid at chicken Itza in Mexico contains several layers that are in the shape of square prisms. The first layer has a side of 50 meters and each successive layer has a side length that is 95% of the one directly below it. What function can be used to find the side length, in meters of layer, where 1 ≤ L ≤ 6 ?

Solution

Problem 3 :

An official NBA basketball must be inflated so that when it is dropped, it must not bounce back more than 75% of he height from which it was dropped. If a basket ball is dropped from a height of 72 inches, what function r(t) describes the height of the basket ball as a function of t, the number of bounces ?

Solution

Problem 4 :

The population of Bexar Country Texas, for a few recent years is shown in the table.

If t represents the number of years since 2010 and P(t) represents the population in millions, what function, P(t) best describes the data in the table ?

Solution

Problem 5 :

A chiropterologist is a scientist who studies bats. A bat colony is discovered and a chiropterologist calculates that there are 2100 bats in the colony. If the population of the colony doubles each year, which function, B(t)  describes the population of the colony t year after discovery ?

(a) B(t) = 2100(1/2)^t         (b) B(t) = 2100(2)^t

(c) B(t) = 2100 +2^t         (d) B(t) = 2100 + (1/2)^t

Solution

Problem 6 :

Chuy purchased a used truck for $11500. According to an online vehicle website, his truck will depreciate or lose value, at a rate of 5.5% each year. What function d(x) represents the value of Chuy's truck x year after its purchase ?

(a) d(x) = 11500(0.945)^x         (b) d(x) = 11500(1.055)^x

(c) d(x) = 11500(0.055)^x        (d) d(x) = 11500(5.5)^x

Solution