Slope Application Word Problems

What two equations would you use to solve this word problem? Goran will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $53 and costs an additional $0.11 per mile driven. The second plan has an initial fee of $40 and costs an additional $0.13 per mile driven.

• y= 53 + 11x

  and

  y = 40 + 13x

• y= 53 + 40

  and

  y = 0.11x + 0.13x

• y= 53 + 0.13x

  and

  y = 40 + 0.11x

• y= 53 + 0.11x

  and

  y = 40 + 0.13x

Tags

CCSS.8.EE.C.8C

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+80

• y=x+15

• y=80x+15

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5

• y = 5x +20

• y=-5x + 20

• y = 5x - 20

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

The water level of a river is 34 feet and that it is receding (decreasing) at a rate of 0.5 foot per day.  Write an equation for the water level, L, after d days.

• L = 34 + 0.5d

• L = 34 - 0.5d

• L = 0.5 + 34d

• L = 0.5 - 34d

Tags

CCSS.HSF-BF.A.1A

What two equations would you use to solve thios word problem? A phone company offers two monthly plans. Plan A costs $28 plus an additional $0.12 for each minute of calls. Plan B has no initial fee but costs $0.17 for each minute of calls.

• y= 28 + 0.12x

  and

  y = 0.17x

• y= 0.12x

  and

  y = 28 + 0.17x

• y= 28x

  and

  y = 0.12x + 0.17x

• y= 28 + 0.17x

  and

  y = 0.12x

Tags

CCSS.8.EE.C.8C

Which application should you use to solve the given problem? A group of mountain climbers begin an expedition with 250 pounds of food. They plan to eat a total of 12 pounds of food per day. Write and solve a linear equation to find the number of days their food will last.

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Answer explanation

$y=-12x+250$

Tags

CCSS.7.EE.B.4A

Which application should you use to solve the given problem?

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Answer explanation

 $y=-2150x+31000$ 

Which application should you use to solve the given problem?

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Answer explanation

 $m=850\ \ \ \left(9,\ 307650\right)$ 

Which application should you use to solve the given problem?

• Slope-Intercept

• Standard Form

• Point & Slope

• Two Points

Answer explanation

 $m=0.30\ \ \ \left(120,51\right)$