Exam 1: Extension B: Functions and Models

The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. What is the F-intercept and what does it represent?

It makes sense that the larger the area of a region,the larger the number of species that inhabit the region.Many ecologists have modeled the species-area relation with a power function and,in particular,the number of species S of bats living in caves in central Mexico has been related to the surface area A measured in of the caves by the equation (a)The cave called mission impossible near puebla,mexico,has suface area of How many species of bats would expect to find in that cave? (b)If you discover that species of bats live in cave estimate the area of the cave.

The monthly cost of driving a car depends on the number of miles driven.Julia found that in October it cost her to drive mi and in July it cost her to drive mi.Express the monthly cost C as a function of the distance driven d assuming that a linear relationship gives a suitable model.

The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function. Complete the table and find the slope.

Many physical quantities are connected by inverse square laws,that is,by power functions of the form In particular,the illumination of an object by a light source is inversely proportional to the square of the distance from the source.Suppose that after dark you are in a room with just one lamp and you are trying to read a book.The light is too dim and so you move the distance to the lamp.How much brighter is the light?