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Practice graphing quadratic inequalities word problems.
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Graphing Word Problems
- A mechanic charges (#1216)
A mechanic charges $125 plus $25 per hour of labor. The equation c=25n+125 describes the total she would charge for a service visit, where n represents the number of hours of labor and c is the total cost. Graph the equation and using the ...
- An airplane whose capacity is 100 passengers (#2218)
An airplane whose capacity is 100 passengers is to be chartered for a flight to Europe. The fare is to be $150 per person, if 60 people buy tickets. However, the airline agrees to reduce the fare for ever passenger by $1 for each additional ticket ...
- No more than 65 freshman and sophomores (#1370)
No more than 65 freshman and sophomores may participate in the math club. There are three times as many freshman as sophmores. Let x represent the number of freshman. Let y represent the number of ...
- Suppose that you are a hospital dietician (#1302)
Suppose that you are a hospital dietician. A patient must have at least 165 milligrams and no more than 330 milligrams of cholesterol per day from a diet of eggs and meat. Each egg provides 165 milligrams of cholesterol and each ounce of meat provides 110 milligrams of cholesterol.
Graph the system of inequalities in the first quadrant (explain why). Identify at least two ordered pairs that are part of the solution ...
- Suppose you are at the gas station (#1115)
Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
a) What does the number 3.03 represent?
b) Find C(2)
c) Find C(9)
d) For the average motorist, name one value for g that would be inappropriate for this functionís purpose. Explain why you chose the number you did.
e) If you were to graph C(g), what would be an appropriate domain? ...
- The equations express the supply S and the demand D (#3182)
The equations S = 5000 + 200x and D = 9500 - 100x express the supply S and the demand D, respectively, for a popular compact disc brand in terms of its price x (in dollars).
a) Graph the equations on the same coordinate system.
b) What happens to the supply as the price increases?
c) What happens to the demand as the price increases?
d) The price at which supply and demand are equal is called the equilibrium ...
- The length of segment AB is 6 units (#1476)
The length of segment AB is 6 units. If A is named by (-4,-3) and B is named by (*...
- The median age at first marriage for females (#1234)
The median age at first marriage for females increased from 24.5 years in 1995 to 25.1 years in 2000 (U.S. Census Bureau, census.gov). Let 1995 be year 5 and 2000 be year 10.
a) Find the equation of the line through (5, 24.5) and (10, 25.1).
b) What do x and y represent in your equation?
c) Interpret the slope of this line.
d) In what year will the median age be 30...
- Two rental car companies A and B (#2672)
Two rental car companies A and B. A charges 25 per day and 33 cents per mile. Company B charges no daily fee but 55 cents per mile.
What is the cost to rent a car from each company if you plan on driving 150 miles in one day?
How far can you drive for $50 for each ...
- Without solving the equation or factoring (#2120)
Without solving the equation (or factoring)...
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