Interpret Slope and Why Intercepts from Word Problems and Graphs

y=3x+15

• Susan pays a membership fee of $15 plus $3 per hour

• a hiker on top of a mountain starts at an elevation 50 meters then walks down to the base at rate of 5 meters per minute

• A hot Air balloon at 2000 ft starts to ascend at 50 ft per second

• A video store charges $1.25 per movie rented and a one time fee of $8 for membership

A swimming pool had a leak. After 2 hours it had 800 gallons in it and then after 6 hours it had gone down to 600 gallons. Which equation represents this situation?

• y = - 50x + 900

• y = - 200x + 900

• y = 200x

• y = 4x

The starting point in a situation is represented by the _______________

• slope

• y-intercept

• m

• x value

Which letter represents the y-intercept in the slope-intercept form of an equation?

• b

• m

• x

• y

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping 

What does the rate of change (slope) represent on this graph?

• starts at 0

• starting salary

• Salary per Movie

• highest salary

What does the slope represent on this graph?

• starts at 0

• starting salary

• Salary per Movie

• highest salary

What does the slope represent in this situation?

• The sloth runs 1 feet in 3 minutes

• The sloth runs 3 feet in 1 minute

• The sloth runs fast

• The sloth runs 6 feet in 1 minute

What does the y-intercept represent?

• The amount of each deposit made

• The initial amount of money in the savings account

• The number of deposits made

• The amount of money in the savings account after 50 deposits

Which letter represents the slope in the slope-intercept form of an equation?

• b

• x

• y

• m