Construct Functions to Model Linear Relationships

Is this function linear or nonlinear?

• Linear

• Nonlinear

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

Which equation matches the table?

• y = x + 5

• y = 5x

• y = x - 5

• x = y - 5

Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games?

• y = 4 + 5x

• y = 5 + 4x

• y = 4•5•x

• y = 5x - 4

Which situation can be represented by
y = 17x - 8?

• The number of seeds, y, needed to feed 8 hamsters 17 seeds each.

• The earnings from a lemonade stand, y, selling glasses at 17 dollars each with $8 in the tip jar.

• The cost, y, of buying 17 movie tickets that sell for $8 each. 

• The cost, y, of buying Star Wars figurines at $17 each with an $8 discount. 

Determine the rate of change for the graph above.

• 100/25

• 2/1

• 20/0

• 40/10

Determine the rate of change. What is the cost for a dozen pounds?

• $12

• $20

• $24

• $30

Angelo's mother put $50 on his lunch card. He spends the same amount of money each day for lunch. Use the table to answer the following questions. Write a function that gives the amount of money remaining on Angelo's lunch card over time.

• y = 5.25x + 50

• y = -5.25x + 50

• y = 5.25x - 50

• y = -5.25x - 50

Which situation could match the depicted graph?

• The rate of change is a loss of one gallon each hour

• The rate of change is an increase in temperature related to time

• The rate of change describes gas mileage related to engine size

• The rate of change is a constant 25 miles per hour

What is the way to describe the rate of change?

• Number of units of electricity per cost

• Cost per number of units of electricity