Question 1

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.

A)

<strong>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.</strong> A) B) C) D) E) <div style=padding-top: 35px>

B)

C)

D)

E)

Accepted Answer

11ea8a3b_b6c7_4e54_9fff_cf5b93eeaddd_TB6897_11

Question 2

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?&#10;A) 0, Fahrenheit temperature corresponding to 32&#176;C. &#10;B)   , Fahrenheit temperature corresponding to 0&#176;C. &#10;C)   , Celsius temperature corresponding to 32 &#176;C. &#10;D) 32, Celsius temperature corresponding to 0&#176;C. &#10;E) 32, Fahrenheit temperature corresponding to 0&#176;C.

Accepted Answer

The F-intercept represents the temperature in Fahrenheit when Celsius temperature is zero. Therefore, the correct choice is E, which states that the F-intercept is 32 and represents the Fahrenheit temperature corresponding to 0°C.

Question 3

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.

a) 3 species
b) 702m²

Accepted Answer

a) 3 species b) 702m²

Question 4

The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.   Complete the table and find the slope. &#10; &#10;

Accepted Answer

The answer of The relationship between the Fahrenheit and Celsius...

Question 5

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?

A)

<strong>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?</strong> A) times B) times C) times D) times E) times <div style=padding-top: 35px>

times
B)

times
C)

times
D)

times
E)

times

Accepted Answer

The illumination of an object by a light source is inversely proportional to the square of the distance from the source. Therefore, if you move twice as far away from the lamp, the illumination is divided by 2^2 = 4. In this case, you move 3 times as far away, so the illumination is divided by 3^2 = 9. Therefore, the light is 9 times dimmer or 1/9th as bright, so the answer is C.

Deck 1: Extension B: Functions and Models