Linear Graphs Word Problems

Two farmers use combines to harvest corn from their fields. One farmer can harvest 600 acres of corn per day, and the other farmer can harvest 1000 acres of corn per day. They harvested 9800 acres of corn total. Which equations could represent this situation? Choose all that apply.

• 600x + 1000y = 9800

• 1000x + 600y = 9800

• y = 6/10x + 9800

• y = 10/6x + 9800

A football team scores 63 points. All of the points come from field goals (x) worth 3 points and touchdowns (y) worth 7 points. Write an equation in standard form that represents this situation. Then convert it to slope-intercept form. Select the correct standard form and slope-intercept form.

• 3x + 7y = 63

• 7x + 3y = 63

A pizza parlor charges $1.75 per topping, and a pizza with 5 toppings cost $14.25. What form of a linear equation would best represent this situation?

• Standard Form

• Point-Slope Form

• Slope- Intercept Form

• None of the above

You have only nickels (x) and dimes (y) in your piggy bank. When you ran the coins through a change counter, it indicated you have 595 cents. Write an equation to represent this situation.

• 5x + 10y = 595

• 10x + 5y = 595

• .05x + .10y = 595

• y = 2x + 595

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  Write a linear equation that could be used to find how many songs he downloaded.

• y = 0.95x + 7.95

• y = 7.95x + 0.95

• y = 0.95x - 7.95

• y = - 0.95x + 7.95

The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded.  If Will spent $26, write and solve a linear equation to find how many songs he downloaded.

• 32 songs

• 33 songs

• 19 songs

• 36 songs

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs.  If 6 cats were washed, write and solve a linear equation to find how many dogs were washed.

• 2 dogs

• 3 dogs

• 4 dogs

• not enough information

At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog.  Last week, the store made $60 from washing cats and dogs. Write a linear equation that could be used to find how many cats and dogs were washed.

• -5x + 7.5y = 60

• 5x + 7.5x = 60

• 5x - 7.5y = 60

• 5x + 7.5y = 60

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = 100 - 30x

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15

• C =15 (0.20x)

• C = 15 + x + 0.20

• C = 0.20 + 15x