Activity 9: Rates of Change

What does this formula stand for? Select all that apply

• Rate of change

• Vertical change over horizontal change

• Change in y over change in x

• Change in x over change in y

• Horizontal change over vertical change

Which axis is considered vertical?

• x

• y

• origin

• height

Which axis is considered horizontal?

• x

• y

• origin

• length

Which of the following represents vertical change?

• $y_2-y_1$

• $x_2-x_1$

• 
• 

Which of the following represents horizontal change?

• $y_2-y_1$

• $x_2-x_1$

• 
• 

Which of the following is the correct set up of the slope formula for the points (-2, 3) & (5, -4)

• $\frac{\left(-4\ -\ 3\right)}{5\ -\ \left(-2\right)}$

• $\frac{\left(3\ -\ \left(-4\right)\right)}{5\ -\ \left(-2\right)}$

• $\frac{\left(5\ -\ \left(-2\right)\right)}{-4\ -\ 3}$

• $\frac{\left(-4\ -\ 5\right)}{3\ -\ \left(-2\right)}$

What is the slope of the graph pictured?

• $-\frac{2}{3}$

• $-\frac{3}{2}$

• $\frac{2}{3}$

• $\frac{3}{2}$

Consider the following story problem:

An Alexandria zoo membership it is $50 per year and a discounted price of $6 per visit.

What is the independent variable?

• Number of years

• Amount of money given to the zoo

• Number of visits

• Membership fee

Consider the following story problem:

An Alexandria zoo membership it is $50 per year and a discounted price of $6 per visit.

What is the dependent variable?

• Number of years

• Amount of money given to the zoo

• Number of visits

• Membership fee

Consider the following story problem:

An Alexandria zoo membership it is $50 per year and a discounted price of $6 per visit.

Which function correctly represents this situation?

• $f\left(x\right)=50+6x$

• $f\left(x\right)=6+50x$

• $6x=f\left(x\right)\ +\ 50$
  

• $50=f\left(x\right)+6x$