Models and Substitution

What is the solution?

• (1,1)

• (1.2 , .6)

• (0,3)

• (2 , 1.3)

Use the figure to write and solve an equation for x.

• 5

• 6

• 7

• 8

Write an equation that correctly models the lengths shown.

• 3x + 2 + 6 = 2x - 2

• 2x - 2 + 6 = 3x + 2

• 6 - 3x - 2 = 2x - 2

• 2x + 2 + 3x + 2 = 6

Solve

• x = 6

• x = 7

• x = 12

• x = 144

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

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)

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

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

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