Answer:
C = 6.75n + 50
Step-by-step explanation:
The equation for the cost of renting the party room can be written in the form;
C= mn+k ......i
Where C = cost
n = number of people
Substituting the 2 cases into the equation we have,
Case 1
117.5 = 10m + k ......1
Case 2
151.25 = 15m + k .....2
Subtracting eqn 1 from 2 we have
151.25 - 117.50 = 15m - 10m
5m = 33.75
m = 33.75/5 = 6.75
Substituting m = 6.75 into eqn 1, we have
117.50 = 10(6.75) + k
k = 117.5 - 67.50
k = 50
Therefore, rewriting the eqn i, we have
C = 6.75n + 50
So remember that paralell lines have the same slope
y=1/4x-6
1/4=slope
so we set up a new equation in slope intercept form
y=mx+b
m=slope
b=y-intercept
y=1/4x+b
one solution si (-1,5) where x=-1 and y=5
subsitute
5=1/4(-1)+b
5=-1/4+b
add 1/4 to both sides
5+1/4=21/4=b
the answer is y=1/4x+21/4
Answer:
No.
Step-by-step explanation:
No, y=x²-6 is not a linear function.
This is because all linear functions have the highest exponent of 1. Anything equation that has a variable raised to a power other than 1 is not linear.
The equation provided as the highest exponent of 2. Thus, it's not linear.
From the provided graph, we can also see that this is quadratic instead of linear. The graph is a parabola instead of a line.
Y = k/x
5 = k/8
k = 5 x 8 = 40
Therefore,
y = 40/14 = 2.86
