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Compare a yearly pass with a daily pass at a health club.
1. Develop a linear algebraic equation with clearly defined variables to represent the cost of each option.
2. Explain the reasoning behind the way each equation is constructed.
3. Solve the system of linear equations algebraically using either the substitution method or the elimination method to determine where the two cost options are equivalent, showing all work.
a. Explain each step used to solve the system of linear equations. Include the following in your explanation:
• The algebraic method used to solve the system of equations
• All mathematical operations used to solve the system of equations
• The solution of the system of equations
Assist in how the system would be expressed graphically.
Identify the scale which has no meaningful zero.
The vertices of the trapezoid are the origin along with A(4p, 4q), B(4r, 4q), and C(4s, 0). Find the midpoint of the midsegment of the trapezoid.
The base of an aquarium with volume V = 495 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
The perimeter of a rectangular swimming pool is 326 feet. If the width of the pool is 89 feet, what is the length of the pool?
The altitude h (in meters) of a jet as a function of the horizontal distance x (in kilometers) it has traveled is given by:
A company car that has a seating capacity of eight is to be used by eight employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
Let S be the part of the plane 3x + 1y + z = 4 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1I + 2J + 2K across the surface S.
How many trees should be planted to maximize the total yield of apples? What is the maximum yield?
A fast food outlet has an average of 8 cars at the drivethrough during "lunch rush" 11am-1pm. On average, 2 cars per min. arrive at the resaurant parking lot, and consider the drivethrough
The Walsh Family has decided to drive to Walt Disney World, in Orlando Florida, for their summer vacation. They will drive 260 miles in 4 hours. Write a direct variation equation to find the distance driven for any number of hours.
The dimensions of a triangular lot are 160 feet by 80 feet by 120 feet. If the price of such land is $3 per square foot, how much does the land cost?
Traders often buy foreign currency in hope of making money when the currency's value changes. For example, on February 17, 2006, one U.S. dollar could purchase 0.8382 Euros, and one Euro could purchase 140.9687 yen.
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