Representing Linear Functions

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

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

Michelle and her husband want to go skydiving! The equation, f(x) = 12000 - 125x, represents the height (in feet) of the skydivers, f(x), after x seconds of falling. Michelle and her husband are adrenaline junkies so they have asked to increase the starting jump height by 500 feet and will deploy their parachute late which will change their falling speed to 200 feet per second. What equation represents these changes?

• y = 12000 - 200x

• y = 12500 + 75x

• y = 12500 - 200x

• y = 12200 - 625x

You earn $18 for every 2 hours you work. Which equation represents this?

• y=(18/2)x + 0
• y = 18x
• y = 2x + 18
• y = 18x + 2

Tags

CCSS.6.EE.C.9

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

1. A plant is 5cm tall and growing at a rate of 3cm a month.

• 5 + 3
• 5x + 3
• 5 + 3x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

• y = 3x + 2.5
• y = 2.50x + 3
• y = 2.50x 
• y = 3x + 2.50

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Which of the following situations could be descried by the equation y=120-25x?

• There are 120 people in the football stadium, and 25 more are entering each hour.
• A plumber charges $25 for a house call and $120 per hour.
• A teacher has 120 students. Her third period has 25 students
• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Tags

CCSS.HSF.LE.B.5

A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?

• y=2x+7
• y=7-2x
• y=2-7x
• y=7x+2

Tags

CCSS.6.EE.C.9

Mr. Tory has $6 to spend at the basketball game. He spends $1 for each bag of chips he buys. What equation can be used to describe this situation?

• y = 6x -1

• y = 1x - 6

• y = -1x + 6

• y = 1x - 6