The price of each ticket will be the slope found from the data.
Slope=m=(y2-y1)/(x2-x1)=(177.5-146.25)/(18-13)
m=6.25 (so the cost of the tickets is $6.25)
Now we can use any data point to solve for b, or the y-intercept of the line:
y=6.25x+b, using (177.5, 18)
177.5=6.25(18)+b
b=$65.00d
So he started with $65.00
The equation :
6x - 10 = 32
the number
x = 7
Answer:
The answer is C.
Step-by-step explanation:
y = kx → e =
30
4
h → e = 7.5h
The independent variable is hours worked, h, and the dependent variable is total earnings, e. The independent variable is the input value of a function. The dependent variable is the output value of a function.
Sec(theta) = 1 / cos (theta) = hypotenuse / x -coordinate
hypotenuse = 1 (because it is the radius of the unit circle)
sec (theta) = 1 / (-3/5) = - 5/3
cot (theta) = 1 / tan(theta) = x-coordinate / y - coordinate
cot (theta) = -3/5 / y
y^2 + (-3/5)^2 = 1 => y^2 = 1 - 9/25 = 16/25 = y = +/- 4/5
Third quadrant => y = -4/5
=> cot (theta) = (-3/5) / (-4/5) = 3/4