This is the equation you need to use: y = kx
So, let's put it this way:
y can be the total amount of money you spend (so $48), and x the number of people (6)
y=kx
48=k*6
k = 48/6
k = 8
The constant variation, and the price of one ticket is 8.
Answer: 10
Step-by-step explanation: 800/80 = 10
a) Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
b) since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equation
In order to show if the given point corresponds to the given function, we will have to substitute the value of x into the function to see if we will have its corresponding y-value
For the point (-0.8, -0.6), substitute x = -0.8 into both functions as shown:
f(x) = 2x + 1
f(-0.8) = 2(-0.8) + 1
f(-0.8) = -1.6 + 1
f(-0.8) = -0.6
Simiarly;
y = -3(-0.8)- 3
y = 2.4 - 3
y = -0.6
Since the corresponding y-value is -0.6, hence the point (-0.8, -0.6) is a solution to the system of equations
For the point (1/3, 2), substitute x = 1/3 into both functions as shown:
x = (y+2)/2
x = (2+2)/2
x = 4/2
x = 2
Simiarly;
x + 2 = 3
x = 3-2
x = 1
Since the corresponding x-value is not 1/3, hence the point (1/3, 2) is not a solution to the system of equations
Learn more on systems of equation here: brainly.com/question/847634
To find the y intercept you use this equation:
y2 - y1
Same for x intercept:
x2 - x1
Pick two points, put in the values, and solve.
(-5,-7) and (0,-5)
-5 - (-7) = 2
0 - (-5) = 5
The y intercept is (0,2)
The x intercept is (5,0)
Hope this helps! :)
-Peredhel
2 - (-4) + (-y) y = 7
2 - (-4) + (-7)
2 + 4 - 7
-1
hope that helps, God bless!