Linear Relationships

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

• y=15x-25
• 15x+25y=100
• 25x+y=15
• y=15x+25

Tags

CCSS.6.EE.C.9

A local donut shop charged $6.50 for a dozen and provided a coupon in the newspaper for $1.50 off an order. Since the donut shop has gained popularity they have changed their coupon which now provides a discount of only half their original coupon's value. What is the equation that represents the value of a customer's order who uses the new coupon with their order?

• y = 6.50x - 0.75
• y = 6.50x + 0.75
• y = 6.50x - 1.50 - 0.75
• y = 5x - 0.75

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back-to-school special, she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

• y = 5 + 12x
• y = 12x
• y = 7x + 5
• y = 12x + 12

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 

• y = 425x + 600
• y = 425 + 600x
• y = 400x + 625
• y = 400 + 625x

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

• 15x + 3x = 99    and 6 movies
• 15x + 3 = 99 and 6 movies
• 3x + 15 = 99 and 28 movies
• 3x + 99 = 15 and 28 movies

Tags

CCSS.7.EE.B.4A

You walk 8 miles in 2 hours away from home, and you started one mile away. Which equation?

• d = 8t
• d = 4t + 1
• d = 4t - 1
• d = 2t + 8

Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.
 Write a linear model that shows how much money will be in the account after x months. 

• y= 25,000x-1,500
• y= 25,000+1,500
• y=1,500x+25,000
• y= -1,500x+25,000

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A yoga class in a fitness center charges a $200 registration fee plus $12 per lesson.  Write an equation to determine the amount of money a person will spend (y) for any number of lessons (x).

• y = 200x + 12
• x = 200 + 12y
• y = 12x + 200

Tags

CCSS.6.EE.C.9

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

• y = 625x + 225
• y = 225x 
• y = 225x + 625
• y =  625

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?

• 350
• 50
• -50
• -350

Tags

CCSS.8.EE.B.5