- 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 ...

graphs, graphing

- 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 ...

graphing, graphs

- Graphing
*(#5159)*

A diet is to include at least 140mg of Vitamin A and at least 145mg of Vitamin B. These requirements can be obtained from two types of food. Type x contains 10mg of Vitamin A and 20mg of Vitamin B per pound. Type y contains 30mg of Vitamin A and 15mg of Vitamin B per pound. If type x food costs $12 per pound and type y food cost $8 per ...

graphs, graphing

- Graphing
*(#4622)*

a triangle is 10 cm wider than it is tall. the area is 48 cm2...

graphing, graphs

- Graphing
*(#5580)*

a smoker is 15 times more likely to die of lung cancer than a nonsmoker. an ex smoker who stopped smoking T years ago is W times more likely to die of lung cancer then a nonsmoker, where w=15-t graph the equation and use the graph to estimate how much more likely it is for sandy to die of lung cancer than polly, if polly never smoked and sandy quit 2 1/2 years ago

graphing, graphs

- Graphing
*(#6056)*

A small furniture company makes two types of oak tables. Style one takes 6 sq ft of material and 10 man hours to manufacture. Style two takes 4 sq ft of material and 10 man hours to make. The small drying kiln produces 120 sq ft of oak every week and their staff works 240 man hours a week. If style one makes a profit of $30 and style two a profit of $25...

graphing, graphs

- Graphing
*(#7894)*

A manufacturer is designing a large tarpaulin that will have binding sewn all around its outside edge. The shape of the tarpaulin is a rectangle with a small equilateral triangle cut out of one of the sides (forms a triangular notch). The edge of the triangle is one-eighth the length of that side of the rectangle. The area of the tarpaulin is to be 585 square ...

graphing, graphs

- Graphing
*(#8955)*

Annie can choose no more than 15 snacks for her party she has already chosen her two favorite foods; Doritos and ...

graphing, graphs

- Graphing
*(#9082)*

a farmer has some chickens and pigs on his farm, all together they have 50 legs and 40 ...

graphing, graphs

- Graphing
*(#9544)*

2 adult tickets and 3 student tickets cost $12. 1 adult ticket and 2 student tickets cost $7...

graphing, graphs

- Graphing
*(#10443)*

The book had 150 pases that had to be read in 10 ...

graphing, graphs

- Graphing
*(#10543)*

Many businesses pay website hosting companies to storeand maintain the computer files that make up their websites. Internet serviceproviders also offer website hosting. The costs for website hosting offered bya website hosting company and an Internet service provider are shown in thetable. Find the number of months after which the total cost for website hostingwill be the same for both companies.

Company: Internet Service Provider

Set-up Fee ($): 10

Cost/Month ($): 10.05

Company: Website Hosting Company

Set-up Fee ($): None

Cost/Month ($): 10.55

graphing, graphs

- Graphing
*(#10648)*

i have to pay 46 dollars an hour to rent a studio. My students pay 56 dollars for a once a week lesson for one hour. how many students do i need to make a profit

graphing, graphs

- Graphing
*(#10781)*

An example of this type of problem is: A movie theater sells tickets for $9.00 each. Senior citizens receive a discount of $3.00. One evening the theater sold 636 tickets and took in $4974 in revenue. How many tickets were sold to senior ...

graphing, graphs

- Graphing
*(#10782)*

A movie theater sells tickets for $9.00 each. Senior citizens receive a discount of $3.00. One evening the theater sold 636 tickets and took in $4974 in revenue. How many tickets were sold to senior ...

graphing, graphs

- Graphing
*(#10829)*

An airplane whose capacity is 100 passangers 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 every passanger by $1 for each additional ticket ...

graphing, graphs

- Graphing Equations
*(#10889)*

a wedding cake measures 2 feet high in the center and the diameter of the bottom tier is 12 ...

graphing equations, graphing, equations, graphs

- Graphing Inequalities
*(#7296)*

A fund raiser is being planned at school. The goal is to raise $1500. If you have 300 adult tickets and 100 children tickets to sell, how much should you charge for each type of ticket? Graph all possibilities

graphing inequalities, graphing, graphs

- Graphing Linear Equations
*(#5475)*

Mike plans on selling tickets to a play he is hosting, he will sell adult tickets for $15.00 and he will sell student tickets for $7.00. Mike would like to make $7000 on the ...

graphing linear equations, graphing equations, graphing, equations, graphs

- Graphing Polynomial Functions
*(#6925)*

When there are 22 apple trees pre acre, the average yield has been found to be 500 apples per tree. For each additional tree planted per acre, the yield per tree decreases by 15 apples per ...

graphing polynomial functions, graphing, polynomial functions, graphs, functions, polynomials

- 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 ...

graphs, graphing

- 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 ...

graphing inequalities, graphing, graphs

- 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:

C(g)=3.03(g)

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 function’s purpose. Explain why you chose the number you did.

e) If you were to graph C(g), what would be an appropriate domain? ...

graphing polynomial functions, graphing, graphs, polynomial functions, functions, polynomials, domain of a function, range of a function

- 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 ...

graphing, graphs

- 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 (*...

graphs, graphing

- 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...

graphing, graphs

- 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 ...

graphing, graphs

- Without solving the equation or factoring
*(#2120)*

Without solving the equation (or factoring)...

graphing quadratic equations, graphing, graphs