Exploring Rate of Change in Function Comparisons

What is primarily discussed when comparing and describing functions?

• Quadratic functions

• Linear functions

• Exponential functions

• Logarithmic functions

What term is often used interchangeably with 'slope' in story problems?

• Gradient

• Rate of change

• Intercept

• Coefficient

How do you determine which function is increasing faster?

• By finding the y-intercept

• By comparing the slopes

• By the length of the graph

• By checking the x-intercepts

What was the slope of J's race?

• 7 meters per second

• 5 meters per second

• 6 meters per second

• 4 meters per second

Who ran at a faster rate, J or Nathan?

• J

• Nathan

• Both ran at the same rate

• Cannot be determined

What indicates a function's rate of change in a story problem?

• The term 'rate'

• The term 'slope'

• The term 'intercept'

• The term 'variable'

What does the equation 'y = -8x + 40' represent in the context of the truck's brakes?

• Stopping rate

• Time in seconds

• Speed in miles per hour

• Acceleration rate

Which vehicle had a faster stopping rate?

• Both stopped at the same rate

• The Mustang

• The truck

• Cannot be determined

How is the slope of a linear function related to its rate of change?

• The slope is the reciprocal of the rate of change

• The slope is inversely proportional to the rate of change

• The slope is the rate of change

• The slope has no relation to the rate of change

What does a negative slope indicate in the context of a vehicle's stopping rate?

• The vehicle maintains constant speed

• The vehicle decelerates

• The vehicle changes direction

• The vehicle accelerates