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

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

distribute

This is the equation of the line in slope intercept form

where

The slope or unit rate is

The y-intercept or initial value is

To graph the line we need minimum two points

Find the x-intercept

For f(x)=0

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

180

step-by-step explanation:

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