Rate of Change Quiz

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

• 50 feet per hour

• 75 feet per hour

• 100 feet per hour

• 25 feet per hour

A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface after 40 seconds. What is the scuba diver's rate of change?

• 2 feet per second

• 3 feet per second

• 4 feet per second

• 5 feet per second

A rocket is 1 mile above the earth in 30 seconds and 5 miles above the earth in 2.5 minutes. What is the rocket's rate of change in miles per second?

• 0.03 miles per second

• 0.04 miles per second

• 0.05 miles per second

• 0.06 miles per second

A teacher weighed 145 lbs in 1986 and weighs 190 lbs in 2007. What was the rate of change in weight?

• 1.5 lbs per year

• 2 lbs per year

• 2.5 lbs per year

• 3 lbs per year

Over the last 50 years, the average temperature has increased by 2.5 degrees worldwide. What is the rate of change in worldwide temperatures per year?

• 0.05 degrees per year

• 0.04 degrees per year

• 0.03 degrees per year

• 0.02 degrees per year

A plane left Chicago at 8:00 A.M. At 1:00 P.M., the plane landed in Los Angeles, which is 1500 miles away. What was the average speed of the plane for the trip?

• 250 miles per hour

• 300 miles per hour

• 350 miles per hour

• 400 miles per hour

For each of the above examples, create a linear model. What is the general form of the equation used?

• y = mx + c

• y = ax + b

• y = bx + a

• y = cx + m

How do we find the slope (m) in a linear model?

• Change in y divided by change in x

• Change in x divided by change in y

• Sum of x and y

• Difference between x and y

What does the value of c represent in the linear equation y = mx + c?

• The slope of the line

• The y-intercept

• The x-intercept

• The average rate of change