Leigh charges $25 for a haircut. She pays $75 per day to the owner of the business. If she does 12 haircuts during the day, how
2 answers:
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Answer:
Please find attached, the required graph created on MS Excel
Step-by-step explanation:
The distance between Sandy's house and the school = 200 m
The number of minutes Sandy talked to her friend for = 10 minutes
The time it took Sandy to return home to pick her homework = 5 minutes
Let <em>x </em>represent Sandy's location she stops to talk to her friend 10 minutes, we have;
The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)
The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)
Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂
Therefore, where x = 125, we have;
The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min
Given that the same rate m₂ is what she used in heading back to school, we have;
The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes
Therefore, whereby it took her 10 minutes to reach point <em>x</em>, we have the following coordinate points on the graph in a tabular form;
The plot of the above point is completed using MS Excel as shown in the attached diagram.
The equation that shows how the total number of cups of ice used, y, depends on the number of glasses filled, x, is
Filling the cooler is an illustration of a linear function
A linear function is represented as:
Where
- m represents the slope/rate
- b represents the y-intercept/the initial value
- x and y are the variables
By comparison, we have the following parameters
--- the amount of cups per ice
---- the initial amount of cup
So, the equation that represents this scenario is
Read more about linear functions at:
The formula for the volume of a cone is
.. V = (1/3)*π*r^2*h
The radius (r) is half the diameter, so is 5 m. Fill in the numbers and do the arithmetic.
.. V = (1/3)*3.14*(5 m)^2*(6 m) = 157 m^3
The cost will be $25 for each of those cubic meters, so is
$25*157 = $3925.00.
.. V = (1/3)*π*r^2*h
The radius (r) is half the diameter, so is 5 m. Fill in the numbers and do the arithmetic.
.. V = (1/3)*3.14*(5 m)^2*(6 m) = 157 m^3
The cost will be $25 for each of those cubic meters, so is
$25*157 = $3925.00.