Word Problems

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

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

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.  It turns out that the doughnuts were more popular than the coffee.  On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.  Which equations could be used to determine the cost of the coffee? 

• 10c + 5d = 14.25
  5c + 10d = 16.50
• 10c + 5d = 16.50
  5c + 10d = 14.25
• c + d = 10
  5c + 10d = 16.50
• c + d = 5
  5c + 10d = 16.50

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have?  Which system best represents the situation? 

• x + y = 1430
  20x + 50y = 49
• x + y = 49
  10x + 5y = 1430 
• x + y = 49
  20x + 50y = 1430
• x + y = 49
  x + y = 1430

Jason is a plumber.  He charges a $90 service fee plus $50 per hour of labor.  Which equation represents the total cost y of a repair that takes x hours? 

• y = 90x + 50
• y = 50x + 90
• x = 90y + 50
• x = 50y + 90

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

• y = 30x+20

• y = 30 + 20x

• y = 50x

• y = 60x

Jacob collects hats.  He has 6 hats already, and he collects 2 hats a week.

• y = 2x + 6
• y = 6x + 2
• y = 2x - 6
• y = 6x - 2

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

Faith was working admissions to the basketball game is $5 for students (x) and $7 for adults (y). If the faith made $500 dollars at the game on ticket sales, write an equation that represents this scenario.

• 7x+5y=500

• y=7x+500

• 5x+7y=500

• y=500x+7

Jamari made jam and has 8oz jars (x) and 10oz jars (y). He made 72 oz of jam. Write an equation to represent this scenario.

• 10x+8y=72

• 8x+10y=72

• 72x+8y=10

• 8x+72y=10