Linear Equations Two Points Word Problems

A caterer charges $100 to cater a party for 10 people and $175 for 25 people. Write an equation for the given situation.

• y = 25x + 100

• y - 100 = 5(x - 10)

• y - 175 = 10(x - 25)

• 100x + 175y = 35

Tags

CCSS.6.EE.C.9

Margaret is a waitress at The Seafood Bonanza.  She earns $3 an hour plus 90% of her tips.  Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

• 3h + 0.90d = S

• S = 90d + 3h

• S = 3d + 90h

• S = 3h + 9.0d

Tags

CCSS.6.EE.C.9

Norb is a waiter in a diner. He earns $4 per hour plus 95% of his tips. Which equation can be used to determine his salary, S, if he works t hours and earn d dollars in tips?

• S = 4t + 0.95d

• S = 95t + 4d

• S = 0.4t + 9.5d

• S = 4t + 9.5d

Tags

CCSS.6.EE.C.9

When an individual rides in a taxi for 20 miles, it costs them $21. Another individual rides in the same taxi for 30 miles and pays $26.50. What information is given and which equation should you use?

• A slope and y - intercept is given; use y = mx + b.

• A slope and y - intercept is given; use y - y1 = m(x - x1).

• Two points are given; use y - y1 = m(x - x1).

• Two different items that add to a total are given; use Ax + By = C.

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation to represent the given situation.

• y = -0.5x + 34

• y = -34x + 0.5

• y - 34 = 0.5(x - 1)

• 34x - 0.5y = 33.5

Tags

CCSS.6.EE.C.9

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation for the given situation.

• y = 50x + 25

• y = 25x + 50

• y - 50 = 1(x - 25)

• 25x + 50y = 75

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Classroom performance points are worth 0.25 of your overall score and concept checks are worth 0.375 of your overall score. A student has earned 46.25% of their overall grade from these two categories alone. Write an equation to represent the given situation.

• y = 0.25x + 0.375

• y - 0.375 = 0.25(x - 46.25)

• y - 46.25 = 0.25(x - 0.375)

• 0.25x + 0.375y = 46.25

Tags

CCSS.6.EE.C.9

A car is driving down from the top of a Colorado mountain. The elevation at the top of the mountain is 13,500 feet. Every minute of driving, the car’s elevation decreases by 150 feet. Write an equation to represent the given situation.

• y = 150x + 13,500

• y = -150x + 13,500

• y - 13,500 = -(x - 150)

• 150x + 13,500y = 13,750

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A car rental company charges $164 for renting a vehicle for 2 day. They also charge $198 for renting a vehicle for a total of 4 days. Write an equation to represent the given situation.

• y = 2x + 164

• y - 164 = 17(x - 2)

• y - 198 = 34(x - 4)

• 4x + 164y = 198

Tags

CCSS.6.EE.C.9

Mr. P goes to the comic book store and purchases issues of Justice League and X - Men. Justice league comics are priced at $4.99 each, and X - Men comics are priced at $3.99 each. He spent $36.92. What information is given and which equation should you use?

• A slope and y - intercept are given; use y = mx + b.

• A slope and y - intercept are given; use y - y1 = m(x - x1).

• Two points are given; use y - y1 = m(x - x1).

• Two different items that add to a total are given; use Ax + By = C

Tags

CCSS.8.EE.C.8C