Answer:
Option B
Step-by-step explanation:
Options for the given question -
A.
A histogram
B.
A cumulative frequency table
C.
A pie chart
D.
A frequency polygon
Solution
Option B is correct
The data represents the frequency value for a given interval and hence it represents the cumulative form of frequency distribution.
<span>The number of dollars collected can be modelled by both a linear model and an exponential model.
To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8)
The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3
y - 2 = 3(x - 1) = 3x - 3
y = 3x - 3 + 2 = 3x - 1
Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17
To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2.
8 = 2r^(3 - 1) = 2r^2
r^2 = 8/2 = 4
r = sqrt(4) = 2
Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
<h3><u>Question:</u></h3>
Aubrey's dinner cost $85 . She tips the waitstaff 30% for excellent service. How much does Aubrey tip the waitstaff?
<h3><u>Answer:</u></h3>
Aubrey paid $ 25.5 to the wait staff
<h3><u>Solution:</u></h3>
Given that, Aubrey's dinner cost $ 85
She tips the waitstaff 30% for excellent service
We have to find the amount paid as tip to wait staff
Cost = $ 85
Tip = 30 %
So the tip amount paid is 30 % of 85
<h3><u>Find out 30 % of 85</u></h3>

Thus Aubrey paid $ 25.5 to waitstaff
Answer:
Ryan takes 6n+36m -42 seconds to reach the nth flag for the mth time.
Step-by-step explanation:
It takes Ryan to run from 1st to 6th flag in 30 seconds, so it takes him
30 * 6/3 = 36 seconds to make one complete round.
or it takes 6 seconds to run from one flat to the next.
To reach the nth flag (n=1,2,3,4,5, or 6)
Ryan takes 6(n-1) seconds.
To reach it the mth times, he needs to add 36(m-1) seconds.
So time it takes Ryan to reach the nth flag for the mth time takes
6(n-1) + 36(m-1)
= 6n - 6 + 36m - 36
= 6n+36m -42 seconds
-3(y+2)2-5+6y
Steps
Multiply the numbers: 3 x 2 = 6
= -6(y + 2) - 5 + 6y
Then, expand - 6(y + 2): -6y - 12
= -6y - 12-5 + 6y
Simplify
-6y - 12 - 5 + 6y
= -17