Rate of Change Quiz

In a straight road, the elevation increases from 100 m to 160 m over 2 km. What is the average rate of change of elevation?

• 20 m/km

• 30 m/km

• 40 m/km

• 60 m/km

The equation y=4x+3 represents a linear relationship. What does the number 4 represent?

• The y-intercept

• The constant value

• The slope or rate of change

• The maximum value

A current in a circuit changes from 3 A to 7 A in 2 seconds. What is the rate of change of current?

• 1 A/s

• 2 A/s

• 4 A/s

• 5 A/s

Which of the following graphs shows zero rate of change?

• A steep upward line

• A steep downward line

• A horizontal line

• A vertical line

A car accelerates from 20 m/s to 50 m/s in 6 seconds. What is its average acceleration?

• 4 m/s²

• 5 m/s²

• 6 m/s²

• 7 m/s²

In civil engineering, the slope of a road is most directly associated with:

• Speed-time rate

• Pressure change

• Gradient or rate of elevation change

• Electrical resistance

A voltage across a capacitor rises linearly from 0 V to 10 V in 5 seconds. What is the rate of voltage increase?

• 0.5 V/s

• 1 V/s

• 2 V/s

• 5 V/s

The slope of a speed-time graph gives:

• Speed

• Time

• Acceleration

• Distance

In mechanical engineering, a motor’s speed changes from 1,500 RPM to 2,100 RPM in 3 seconds. What is the rate of change of speed?

• 100 RPM/s

• 200 RPM/s

• 300 RPM/s

• 600 RPM/s

A steel rod's temperature increases from 30°C to 90°C in 10 minutes during a thermal test. What is the average rate of temperature change?

• 5°C/min

• 6°C/min

• 7°C/min

• 8°C/min