Part 1
Let:
y be the total cost
x be the number of tickets
a be fair admission
Since the fair charges $1.25 per ticket, the equation of the line would look like:
y = 1.25x + a
Since Johnny spent $43.75 and bought 25 tickets, we find a by replacing y with 43.75 and x with 25:
43.75 = 1.25×25 + a
Now solve for a
43.75 = 31.25 + a
43.75 - 31.25 = a
a = 12.50
Going back to the first equation:
y = 1.25x + 12.50
Part 2:
a) Let (9,8) be (x1,y1) and (4,-12) be (x2,y2)
The formula for slope is:
![m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 12 - 8}{4 - 9} \\ m = \frac{ - 20}{ - 5} \\ m = 4](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B%20-%2012%20-%208%7D%7B4%20-%209%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B%20-%2020%7D%7B%20-%205%7D%20%20%5C%5C%20m%20%3D%204)
b) For the point-slope equation, I'll use (9,8)
Using the formula:
![y - y1 = m(x - x1) \\ y - 8 = 4(x - 9)](https://tex.z-dn.net/?f=y%20-%20y1%20%3D%20m%28x%20-%20x1%29%20%5C%5C%20y%20-%208%20%3D%204%28x%20-%209%29)
c) For the slope-intercept form, we solve for y in the point-slope formula:
The maximum value of the box and whisker plot is:
D. 68
Good Luck
Hope This Helps!
The formula for a cylinder is (pi)(radius2)(height)
the formula for a rectangular prism is l*w*h. Plug in what you know into the formulas and add what you get from each volume to get the total volume of the figure.
Answer:
=![\frac{1}{49}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B49%7D)
Step-by-step explanation: