Word Problems Solving by Substitution

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. Write an equation in slope-intercept form that models this situation.

• y= 5x + 800

• y= 800x + 5

A fitness club opens with 80 members. Membership increases by 15 members per month. 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

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

Tags

CCSS.6.EE.B.6

CCSS.6.EE.C.9

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, y, after x hours of service.

• Y = 50x + 25

• Y = 25x + 50

• Y = 50x - 25

• Y = 25x - 50

A canoe rental service charges a $20 transportation fee and $30 dollars per 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

Write the equation that represents this word problem:

Miles makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.

• y= 8x + 3x

• y= 3x + 8

• y= 8x + 3

• y= 3 + 8

Write the equation that represents this word problem:

Olivia runs every day after school. She has already run 4 miles, and she can run one mile per hour.

• y= x + 4

• y= -x + 4

• y= 4x + 1

• y= 4x - 1

Write the equation that represents this word problem:

Marsha gets a job that pays $15 per hour, and she started the week with $20

• y= 15x + 20

• y= 20x + 15

• y= 15 + 20

• y= 20 + 15

Hudson is already 40 miles away from home on his drive back to college. He is driving 65 miles per hour. Write an equation that models the total distance y after x hours.

• y = 40x + 65

• y = 65x + 40

• 40x + 65y = 105

• y - 40 = 65(x - 0)