Functions to Model Linear

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

What is the slope?

• 1/2

• 2

• 7

• 3

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

Determine the equation of the line based on the graph.

• y = -2x + 1

• y = -x + 2

• y = 2x + 1

• y = -2x + 2

Which of the following is in slope-intercept form?

• y=10x-7

• y-5=3(x-1)

• 5x-y=12

• 6x+2y-15=0

Valerie's Gym is running a special for new members. The fee for joining the gym is $30. Members then pay $20 per month to use the gym. Identify the initial value and the rate of change of the function.

• Initial Value is $20. The rate of change is $30.

• Initial Value is $30. The rate of change is $20.

• The rate of change and initial value are $30.

• The rate of change and initial value are $20.

A mechanic charges a fee of $40 to diagnose a problem, and $70 per hour for labor to fix it. Write an equation in slope intercept form to represent this situation.

• y = mx + b

• y = 70x + 40

• y = 40x + 70

A mechanic charges a fee of $40 to diagnose a problem, and $70 per hour for labor to fix it. Identify the initial value and the rate of change.

• Initial value is $40; The rate of change is $70.

• The initial value is $70 and the rate of change is $40.

• The rate of change is the same as the initial value $40.

• The rate of change is the same as the initial value $70.