1. find slope
x=tickets sold
y=money made
slope=(y2-y1)/(x2-x1)
take any point
(5,23.75) and (10,47.50)
input (note, (x,y))
(47.50-23.75)/(10-5)=23.75/5=4.75
slope=4.75
y=mx+b
m=slope
b=yintercept
y=4.75x+b
input
47.5=4.75(10)+b
47.5=47.5+b
b=0
equation is y=4.75x
if ticket sold is 24 then x=24
y=4.75(24)
y=114
answer is $114
2. points
(0,56.00) and (3,45.5)
slope=(y2-y1)/(x2-x1)
slope=(45.5-56.00)/(3-0)=-3.5
y=-3.5x
slope=-3.5
logic it yourself
equation is
y=-3.5x+0
y intercept is when x=0 so when the start of it was or when time=0
x intercept is when y=0 is when he has no money left
1.a. rate of change=4.75
b. $114
2. a.do this yourself, (desmos graphing calculator)
b. slope=-3.5 (duh, means money goes down with time)
c. equaiton is y=-3.5x+0, xint meanss when he has no money, y int means when time=0 or when it started
Answer:
The value of x = 18
Step-by-step explanation:
Given the data set
- Given that the median of the data is 18.
- We know that the median is the middle number in a data set when the data points are in ascending order.
As the given data is already in ascending order.
- Please observe that the data set has an odd number of data points, meaning that the middle number is the median of the data is 18.
As 'x' is the middle number, thus it represents the median value.
Therefore, the value of x = 18
A pair of angles, which are either adjacent or non-adjacent, whose sum is 90 degrees, is classified and known as Complementary Angles. Complementary Angles are made from adjacent or non-adjacent angles, when added to together, their sum is equal to 90 degrees.
Option B:
<u>Solution:</u>
<u>Slope of the perpendicular lines:</u>
If two lines are perpendicular then their slopes are negative reciprocals of each other.
<u>Slope of the parallel lines:</u>
If two lines are parallel then they have the same slope.
i.e their slopes are equal.
Given line m and p are parallel.
Slope of the line m =
Using slope of the parallel lines definition,
Slope of the line p = slope of the line m
Slope of the line p =
Option B is the correct aswer.
Hence the slope of the of line p is .
Answer: About 10.95 nautical miles
Step-by-step explanation: First, lets find how many minutes the cruise ship can cover in 1 nautical mile.
In order to do that divide 21 nautical miles by 21 and 483 minutes by 21.
21/21 = 1 nautical mile 483/21 = 21 minutes
Now, divide 230 minutes by 21 minutes, which equals about 10.95.
So, in 230 minutes the cruise ship will travel about 10.95 nautical miles.