Slope & Y-intercept from Word Problems

 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

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

• y = 4x + 1.50
• y = 1.50x + 4

Tags

CCSS.HSF.LE.A.2

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

CCSS.HSF.BF.A.1

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute.  Write an equation to model the situation.

• y = 30,000ft - 2,000ft(x)
• y = 30,000ft + 2,000ft(x)
• y = 30,000ft(x) - 2,000ft

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

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 for the water level, L, after d days. 

• L = 34 - 0.5(d)
• L = 34(d) - 0.5
• d = 34 - 0.5(L)

Tags

CCSS.HSF-BF.A.1A

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. 

• C = 5h + 3
• C = 3h + 5
• H = 5c + 3
• H = 3c + 5

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

What does "m" represent in y=mx+b?

• y-intercept
• slope
• macaroni
• nothing

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the y-intercept in the following equation:  y=-4x-5

• -4
• -4x
• 5
• -5

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6
• y=3x-6
• y=3x+6
• y=6x+3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Which of these represents slope-intercept form?

• y - y₁ = m(x-x₁)
• Ax + By = C
• y = mx + b

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Neo can pay $9 for a membership to the art museum and then go to the museum for just $10 per visit. Write an equation that shows the relationship between the number of visits x and the total cost y.

•  $y=9x+10$  

•  $y=10x+9$  

•  $y=\frac{9}{10}x$  

•  $y=90x$  

Tags

CCSS.4.MD.A.2