Slope as Rate of Change

Rate of Change and Slope

Elizabeth Borres

Multiple Select

State whether f(x) = 2 + x² is linear.

• yes

• No, the variable has an exponent of 2.

Multiple Select

State whether x – y = –6 is linear.

• yes

• No, none of the variables have exponents.

Multiple Select

Write the equation 2 – y = 10x in standard form.

• –10x + y = 2

• –10x – y = 2

• 10x + y = 2

• 10x + y – 2 = 0

Multiple Choice

Write the equation

$$2y\ =\ \frac{1}{3}x-7$$  in standard form.

• $$-\frac{1}{3}x+2y-7$$  

• $$x-6y-21=0$$  

• $$\frac{1}{3}x-2y=7$$  

• $$x-6y=21$$  

Multiple Choice

During exercise a person’s maximum heart rate r in beats per minute is estimated by r = 220 – a, where a is the person’s age in years. What is the maximum heart rate for a 32-year-old while exercising?

• 252 beats per min

• 192 beats per min

• 188 beats per min

• 178 beats per min

Multiple Choice

The initial fee to join a gym is $200. It costs $55 per month to have a membership. Write a function for the total cost, C(x) of having a membership for x months. What is the cost of having a membership for 18 months?

• C(x) = 18 + 200x; $11,018

• C(x) = 200 + 55x; $1190

• C(x) = 200x + 55; $3655

• C(x) = 55 + 18x; $3655

At the end of the lesson, the student will:

1. Find rate of change.

2. Determine the slope of a line.

Multiple Choice

Find the rate of change.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Multiple Choice

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Poll

Do you have any question(s)/clarification(s)?

Multiple Choice

What is the slope in this picture?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What is the slope in the picture?

• Positive

• Negative

• Zero

• Undefined

Multiple Choice

What direction is an undefined slope?

• horizontal

• vertical

Multiple Choice

Find the slope of the line that passes through the points (2, 4) and (6, 12)

• 1/2

• -1/2

• 2

• -2

Multiple Choice

Find the slope of the line that passes through

(10, 1) and (5, 2)

• 1/5

• -1/5

• 5

• -5