Word Problems Slope Intercept Form

Tube has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. Write an equation that shows the relationship between the number of additional sticks of butter x and the number of cakes y.

• $y=\left|4x\right|$

• $y=\frac{x}{4}$

• $y=4x$

• $y=x+4$

Tags

CCSS.6.EE.C.9

Apeach has already taken 4 pages of notes on his own, and he will take 3 pages during each hour of class. Write an equation that shows the relationship between the time in class x and the number of pages y.

• $y=3x+4$

• $y=4x+3$

• $y=\frac{4}{x}+3$

• $y=\frac{3}{x}+4$

Tags

CCSS.HSF-BF.A.1A

Apeach knits 3 centimeters of scarf each night. Write an equation that shows the relationship between the nights x and the length knit y.

• $y=x+3$

• $y=x-3$

• $y=3x$

• $y=\frac{x}{3}$

Tags

CCSS.6.EE.C.9

Before beginning voice lessons, Ryan already knew how to sing 7 pieces, and he expects to learn 2 new pieces during each week of lessons. Write an equation that shows the relationship between the number of weeks x and the number of pieces learned y.

• $y=2x+7$

• $y=7x+2$

• $y=x+9$

• $y=x+14$

Tags

CCSS.6.EE.C.9

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.6.EE.C.9

A members-only speaker series allows Frodo to join for $14 and then pay $2 for every event attended. Write an equation that shows the relationship between the number of events attended x and the total cost y.

• $y=\frac{x}{2}+14$

• $y=14x+2$

• $y=\frac{2}{14}x$

• $y=2x+14$

Tags

CCSS.6.EE.C.9

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

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

• y = -4x +1.50

• y = 4x - 1.50

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 = - 2,000x + 30,000

• y = - 2,000x - 30,000

• y = 30,000x + 2,000

• y = -30,000x + 2,000

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

• y = 30x + 20

• y = 20x + 30

• y = 50x

• y = 60x

Tags

CCSS.HSF-BF.A.1A