Lesson 17: Form Follows Function

In his job as a cashier, Joe makes $500 each month plus $20 every time he convinces a customer to open a charge account at the store. Determine the function equation.

• f(x) = 20x + 500

  OR

  f(x) = 500 + 20x

• f(x) = 500(1.20)^x

• f(x) = 500x + 20

  OR

  f(x) = 20 + 500x

• f(x) = 500(20)^x

In his job as a cashier, Joe makes $500 each month plus $20 every time he convinces a customer to open a charge account at the store. This function is:

• Linear

• Exponential

In his job as a cashier, Joe makes $500 each month plus $20 every time he convinces a customer to open a charge account at the store. This function is:

• Discrete

• Continuous

A geometric sequence with a constant ratio of 5 and a first term of -3. Determine the function equation.

• f(x) = 5(-3)^x

• f(x) = -3(5)^x

• f(x) = 5 - 3x

• f(x) = -3 + 5x

A geometric sequence with a constant ratio of 5 and a first term of -3. This function is:

• Linear

• Exponential

A geometric sequence with a constant ratio of 5 and a first term of -3. This function is:

• Discrete

• Continuous

The population of the resort town of Java Hot Springs in 2013 was estimated to be 35,000 people, with an annual rate of increase of about 2.4%. Determine the function equation.

• f(x) = 35,000(1.24)^x

• f(x) = 35,000(0.86)^x

• f(x) = 35,000(1.024)^x

• f(x) = 35,000 + 2.4x

The population of the resort town of Java Hot Springs in 2013 was estimated to be 35,000 people, with an annual rate of increase of about 2.4%. This function is:

• Linear

• Exponential

The population of the resort town of Java Hot Springs in 2013 was estimated to be 35,000 people, with an annual rate of increase of about 2.4%. This function is:

• Discrete

• Continuous

Mark the y-interept b.

Annotate the slope Δy/Δx.

Answer explanation