Question

A law firm charges a client according to the function f(x)=4(x+2) , where x represents the number of hours spent on the client’s case each week, and f(x) represents the total charge that week in hundreds of dollars. Which graph best represents f(x)? A
image 9aa1ffbf4b6c4b819528d03e38d40220

B
image 2613910ac77a443ab121eae0681d4242

C
image 9a1a98d3a68b4a5b91b8831ed35dc6ef

D
image 85146317251e4058afc4ecb02264fffa

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x ---> the number of hours spent on the client’s case each week

f(x) ---->  the total charge that week in hundreds of dollars

we have

$f(x)=4(x+2)$

distribute

$f(x)=4x+8$

This is the equation of the line in slope intercept form

where

The slope or unit rate is

$m=4$

The y-intercept or initial value is

$b=8$

To graph the line we need minimum two points

Find the x-intercept

For f(x)=0

$0=4x+8\\4x=-8\\x=-2$

The x-intercept is the point (-2,0)

so

we have

the points (-2,0) and (0,8)

To graph the line, plot the intercepts, connect them and join the points

The graph in the attached figure

Remember that the value of x and the value of f(x) cannot be a negative number