Interpreting Slope and Y-Intercept in Context

What does the equation w = 1400 - 350t represent in the context of the pool scenario?

• The pool is being filled with water.

• The pool is being emptied at a variable rate.

• The pool's water level remains constant.

• The pool is being emptied at a constant rate.

How can we interpret the rate of change in a numeric representation?

• By multiplying consecutive values.

• By adding consecutive values.

• By dividing consecutive values.

• By subtracting consecutive values.

What is the initial value in the context of the pool scenario?

• The amount of water before it starts draining.

• The time it takes to empty the pool.

• The amount of water after 1 hour.

• The rate at which water is being drained.

What does the 35 represent in the equation d = 35h for a car traveling scenario?

• The car travels 35 miles in total.

• The car travels 35 miles every hour.

• The car travels 35 miles every minute.

• The car travels 35 miles every second.

What is a common mistake when interpreting the slope in a scenario?

• Thinking the slope is just a number without context.

• Ignoring the units of the slope.

• Assuming the slope is always positive.

• Not considering the independent variable.

In the pool scenario, what does the negative sign in -350 indicate?

• The pool is gaining water.

• The pool is losing water.

• The pool's water level is constant.

• The pool is being filled at a variable rate.

How much water does the pool have before it starts draining?

• 1750 gallons

• 1400 gallons

• 350 gallons

• 0 gallons

What does the term 'rate of change' refer to in the context of the pool scenario?

• The total amount of water in the pool.

• The time it takes to fill the pool.

• The amount of water added to the pool each hour.

• The amount of water lost from the pool each hour.

Why is it important to understand the initial value in a scenario?

• It helps to determine the final value.

• It indicates the rate of change.

• It shows the value before any changes occur.

• It is not important.

What does the graph of the pool scenario show about the water level over time?

• The water level increases over time.

• The water level remains constant.

• The water level decreases over time.

• The water level fluctuates.