Answer:
x = 48/7
Step-by-step explanation:
There's two good ways to do this problem.
Option 1:
Translate "x varies directly as y" into the equation y=kx
Then you have to find k. After you "reset" your y=kx equation, fill in k and then solve for x. See image.
Option 2:
Translate "varies directly" into a proportion, which is two fractions equal to each other:
x/y = x/y
Fill in the three numbers given and cross multiply and solve to find the fourth number. See image.
Answer:
The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given that the profit y (in dollars) for a business from selling x coats is represented by the equation
comparing with the slope-intercept form of the line equation
m = 56
<u>Determining the y-intercept</u>
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
substitute x = 0 in the equation
y = 56(0)
y = 0
Thus, the y-intercept b = 1
Thus,
The equation y = 5x has:
The graph of the equation is also attached.
From the graph, it is clear that at x = 0, the value of y = 0
Hence, the line passes through the origin with the y-intercept 0.
