Using Functions to Model Relationships

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.

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. Write an equation in slope-intercept form to represent this situation.

• y = mx + b

• y = 30x + 20

• y = 20x + 30

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.

Mr. Elia picks pears at Ms. Boyle's orchard on Saturdays during the pear harvest. Ms. Boyle pays him a daily wage, plus an additional amount for each bushel of pears he picks. The table show his daily earnings, y, if he picks x bushels of pears. What is the rate of change?

• 10

• 5

• 8

Mr. Elia picks pears at Ms. Boyle's orchard on Saturdays during the pear harvest. Ms. Boyle pays him a daily wage, plus an additional amount for each bushel of pears he picks. The table show his daily earnings, y, if he picks x bushels of pears. What is the initial value?

• 25

• 26

• 29

Mr. Elia picks pears at Ms. Boyle's orchard on Saturdays during the pear harvest. Ms. Boyle pays him a daily wage, plus an additional amount for each bushel of pears he picks. The table show his daily earnings, y, if he picks x bushels of pears. Write a linear function that models this situation.

• y = mx + b

• y = 8x + 29

• y = 29x + 8

A pool is being drained so that it can be repaired. The graph below shows the amount of water in the pool during the time it takes to drain it completely. What is the initial value?

• 8

• 6000

• 4

• 1000

A pool is being drained so that it can be repaired. The graph below shows the amount of water in the pool during the time it takes to drain it completely. What is the rate of change?

• +750

• -750

• +6000

• -1000

A pool is being drained so that it can be repaired. The graph below shows the amount of water in the pool during the time it takes to drain it completely. Write a function that is represented by the graph.

• y = mx + b

• y = 6000x + 750

• y = -750x + 6000

• y = -6000 + 750x