Linear Functions Rate of Change and Initial Value

What is the rate of change in the equation?

Identify the rate of change from the following equation;

y = 1/2x + 6

• 1/2

• 2

• 6

• -6

During the summer, Briana runs an ice cream shop. Her biggest seller is waffle ice cream cones. She charges $1.85 for a waffle cone, and $0.60 for each scoop of ice cream. What is the rate of change?

• $2.45

• $0.60

• $60

• $1.85

Bob has $150 in his savings account and saves $40 per month. What is the rate of change?

• $150

• $40 per month

• $40 per day

The rate of change is another word for slope.

True or false?

Identify the rate of change from the following equation:

y = 2x + 4

• 1

• 2

• 3

• 4

Identify the initial value from the following equation;

y = -3x + 3

• 0

• 3

• -3

• 1

What is the y-intercept of the line 3x + y = 12

• 3

• -3

• -12

• 12

Jimmy is filling a pool with water.  The pool has 78 gallons already inside.  The hose is filling it at a rate of 3 gallons per minute.  What is the y-intercept for this problem?

• 78/3

• 78

• 3

• 3/78

Lonnie plans to join the gym.  He must pay a $35 membership fee.  He will then pay $5 each month.  What is the slope?

• 7

• 35

• 5

• 1/7