a blockbuster movie makes about $247,000,000 in the United States during its opening weekend. that same weekend another movie op
1 answer:
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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
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
Answer:
10
Step-by-step explanation:
If there is a direct relation between two variables x and y then it can be represented as
y = kx ,
where y is dependent variable
x is independent variable
k is constant of variation
_____________________________
First condition
y = 400
x = r
using y = kx then relationship will be
400 = kr
finding k here
k = 400/r
Second condition
y = r
x = 4
using y = kx then relationship will be
r = 4k
finding k
k = r/4
since in both condition equation is same
thus, value of k will also be same
thus,
400/r = r/4
=> 400*4 = r*r
=> 1600 = r^2
Thus, 40 is the value of r
k = r/4 = 40/4 = 10
Thus, constant of variation is 10 which is correct choice.
To cross validate
k = 400/r = 400/40 = 10