Mathematics
Grade-8
Easy

Question

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. Calculate the average rate of change.

  1. 200
  2. 150
  3. 300
  4. 75

hintHint:

To find the average rate of change, divide the change in y-values by the change in x-values.

The correct answer is: 75


    To find the average rate of change, divide the change in y-values by the change in x-values.
    After 2 hours he is at an altitude of 400 feet = (x1, y1) = (2,400)

    After 6 hours, he is at an altitude of 700 feet. = (x2, y2) = (6, 700)
    A v e r a g e space R a t e space o f space c h a n g e space equals space fraction numerator triangle y over denominator triangle x end fraction space equals space fraction numerator y 2 minus y 1 over denominator x 2 minus x 1 space end fraction equals space fraction numerator 700 minus 400 over denominator 6 minus 2 end fraction equals 300 over 4 space equals 75
T h u s comma space A v e r a g e space r a t e space o f space c h a n g e space equals space 75

    Related Questions to study

    Grade-8
    Mathematics

    Find which of the following are ways to find the rate of change.

    Find which of the following are ways to find the rate of change.

    MathematicsGrade-8
    Grade-8
    Mathematics

    If a carpenter earned $1000, what is the best estimate for how many days he worked?

    If a carpenter earned $1000, what is the best estimate for how many days he worked?

    MathematicsGrade-8
    Grade-8
    Mathematics

    Which of the following would be a reasonable approximation for the length of time it would take this person to run 6 miles?

    Which of the following would be a reasonable approximation for the length of time it would take this person to run 6 miles?

    MathematicsGrade-8
    parallel
    Grade-8
    Mathematics

    Write the equation for the line.

    Write the equation for the line.

    MathematicsGrade-8
    Grade-8
    Mathematics

    As the age of the car increases, its value decreases. Determine the scatter plot that represents this relationship.

    As the age of the car increases, its value decreases. Determine the scatter plot that represents this relationship.

    MathematicsGrade-8
    Grade-8
    Mathematics

    If the slope is - 5 over 7, what does that mean?

    Use the given line of best fit to approximate the rate of change relative to the scatter plot above.

    If the slope is - 5 over 7, what does that mean?

    Use the given line of best fit to approximate the rate of change relative to the scatter plot above.

    MathematicsGrade-8
    parallel
    Grade-8
    Mathematics

    Find the number of trees that are 3 years old.

    Find the number of trees that are 3 years old.

    MathematicsGrade-8
    Grade-8
    Mathematics

    Using the linear model,  y = 10 + 10  predict the temperature in Hayward in July ( x = 7).

    Using the linear model,  y = 10 + 10  predict the temperature in Hayward in July ( x = 7).

    MathematicsGrade-8
    Grade-8
    Mathematics

    Determine the slope and y-intercept from the following equation:   y = 3 over 2 x + 3

    Determine the slope and y-intercept from the following equation:   y = 3 over 2 x + 3

    MathematicsGrade-8
    parallel
    Grade-8
    Mathematics

    Using the linear model, y=1500x+900 predict how much the elevator will weigh if there were 6 people on it.

    Using the linear model, y=1500x+900 predict how much the elevator will weigh if there were 6 people on it.

    MathematicsGrade-8
    Grade-8
    Mathematics

    If the debate team plans to practice for 6 hours, how many debates should they win?

    If the debate team plans to practice for 6 hours, how many debates should they win?

    MathematicsGrade-8
    Grade-8
    Mathematics

    Write the equation with a slope of 2 over 3 and a y-intercept of -3.

    Write the equation with a slope of 2 over 3 and a y-intercept of -3.

    MathematicsGrade-8
    parallel
    Grade-8
    Mathematics

    Calculate the age of the tree that is 8 feet tall.

    Calculate the age of the tree that is 8 feet tall.

    MathematicsGrade-8
    Grade-8
    Mathematics

    Find the y-intercept in the following equation:  y = - 4 x - 5

    Find the y-intercept in the following equation:  y = - 4 x - 5

    MathematicsGrade-8
    Grade-8
    Mathematics

    In the scatterplot shown below, a line has been drawn to show the trend in a population of box turtles over a period of twelve months.

    Estimate the population of box turtles after 15 months.

    In the scatterplot shown below, a line has been drawn to show the trend in a population of box turtles over a period of twelve months.

    Estimate the population of box turtles after 15 months.

    MathematicsGrade-8
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.