Compare Initial Values and Rate of Change

Select the true statement.

• This table represents a linear function since the rate of change is always 2.

• This table represents a nonlinear function since the y-intercept is 12.

• This table represents a nonlinear function since the rate of change is not constant.

Find the rate of change

• 3

• -3

• 20

• Not a constant slope/Non-Linear

Who is going at a faster rate and why?

• The tortoise because it got a head start

• The hare because its line is more steep

• They are going the same speed because the lines crossed

• I don't know

Which company should you use if you rent the raft for 9 hours?

• Water's Edge Rafts

• Ryan's Rafts

Who weighed more at the beginning of the show?

• Valerie

• Oscar

• Mrs. Conte

• They weighed the same

Who is losing weight faster?

• Valerie

• Oscar

• Mrs. Conte

• They are losing the same amount of weight

• The rate of change of f(x) is less than the rate of change of g(x)
• The rate of change of f(x) is greater than the rate of change of g(x) 
• The y intercept of f(x) is equal to the rate of change of g(x) 
• The y intercept of f(x) is greater than the rate of change of g(x)

• The y-intercept of the function f(x) is less than the y-intercept of the function g(x) 
• The y-intercept of the function f(x) is greater than the y-intercept of the function g(x)
• The y-intercept of the function f(x) is equal to the y-intercept of the function g(x)
• The y-intercepts cannot be determined 

The cost of Patrick’s texting is described by y = 0.03x + 5. The cost of Melanie’s texting is shown in the table. Which service is cheaper when 50 texts are sent or received in one month? 

• Patrick’s service would cost $4.50. Melanie’s would cost $10.50. Patrick’s is cheaper.

• Patrick’s service would cost $6.50. Melanie’s would cost $12.50. Patrick’s is cheaper.

• Patrick’s service would cost $16.50. Melanie’s would cost $12.50. Melanie's is cheaper.

• Patrick’s service would cost $12.50. Melanie’s would cost $6.50. Melanie's is cheaper.

The equation y = 123x describes the function for the number of toys, y, produced at Toys Plus in, x, minutes of production time.  Another company, #1 Toys, has a similar function, also linear, that assigns the values shown in the table below.  Which company produces toys at a slower rate? 

• They produce toys at the same rate

• #1 Toys produces toys at a slower rate (123 toys per minute)

• Toys Plus produces toys at a slower rate (123 toys per minute)

• #1 Toys produces toys at a slower rate (120 toys per minute)