Slope and Linear Word Problems

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

Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks and ties on sale for $4 and $11, respectively. What form of a linear equation would best represent this situation?

• Standard Form

• Point-Slope Form

• Slope-Intercept Form

• None of the above

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

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
The cost for a health club membership is $20 per month plus an initial $49 membership fee. 

• Slope-Intercept Form

• Standard Form

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

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
Mrs. Harris is going to the movies. She spends $10 per ticket and $5 per bucket of popcorn. She only wants to spend $50. 

• Slope-intercept

• Standard form

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
The price of a large cheese pizza is $5.95 plus an additional $0.75 per topping. 

• slope-intercept

• standard form

Write an linear equation to model the following:
You want to buy desserts, ice-cream is $2.50 per scoop and puppychow is $4 per bag and you want to spend $20. 

• y=2.50x+4

• 2.50x+4y=20

• y=4x+2.5