Meaning of Points on Linear Graph

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 

Which statement matches the graph?

• Taylor can write 6 words per minute

• Taylor can write 25 words per minute

• Taylor can write 50 words per minute

• Taylor can write 150 words per minute

The graph represents gasoline consumption when driving a certain distance in km.  What is the meaning of the slope?

• The tank started with 50 L of gasoline

• the amount of gasoline consumed per km driven

• the distance it takes to lose a Liter of gas

• the gasoline is leaking because the slope is negative.

What is the slope of the line containing the points shown?

• 4

• -4

A function that can be represented by a straight line on a graph

• Non-Linear

• Linear

• Proportional relationship

The water level of a swimming pool was measured each hour as it was filling up. The graph represents the linear relationship between the depth of the water and the elapsed time in hours since the pool began filling up.

Which statement describes the rate of change of the function?

• The pool took 20 hours to fill up.

• The pool depth was initially at zero feet.

• The depth of the pool water reached a maximum of 4 feet.

• The depth of the pool water increased by 0.25 feet per hour.

The water level of a swimming pool was measured each hour as it was filling up. The graph represents the linear relationship between the depth of the water and the elapsed time in hours since the pool began filling up.

Which statement describes the y-intercept of the graph?

• The pool took 20 hours to fill up.

• The pool depth was initially at zero feet.

• The depth of the pool water reached a maximum of 4 feet.

• The depth of the pool water increased by 0.25 feet per hour.

A linear function can be used to model the linear relationship between a sweet tea stand’s daily profit and the number of glasses of sweet tea sold that day. The sweet tea stand purchases supplies to make a fixed number of glasses of sweet tea each day and closes the stand if they run out of tea. The relationship is shown on the graph. Which statement is a reasonable interpretation of the meaning of the y-intercept of the graph?

• The stand can earn a maximum profit of $300.

• The stand can make up to 100 glasses of tea.

• The stand initially spent $50 in supplies to make tea for the day.

• The stand sells tea for $5 per glass.

A cook warms frozen garlic bread by slowly heating it in the oven. The table contains values from the function that models the linear relationship between the temperature of the bread and the number of minutes it has been heating. 

What is the rate of change of the temperature with respect to time?

• 13° per minute

• 4° per minute

• 43° per minute

• 20° per minute

The graph of a linear function contains the points shown on the table. What is the rate of change of the function?

• 4

• 17

• -4

• -1/4