Interpreting Linear Graphs and Intercepts and Slope

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

• The daily fee for the moving truck

• The per-mile fee for the moving truck

• How much Charlie paid for the truck

• The number of miles he drove

What line has the steepest slope?

• All slopes are equal

• Red

• Blue

• Green

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

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

Bean is keeping track of his money ove time where x stands for time in months and y stands for money in dollars. Use a sentence to explain the meaning of the slope and y-intercept of the best fit line for each situation.

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• 4

• 10.75

• 11.75

• 12.75

The table shows the height in feet, h, of a hot air balloon and the number of minutes, t, the balloon is in the air. The equation y = 30.5t + 8.7 can be used to model the data table. Explain the meaning of the slope and y-intercept in context.

• The slope (30.5) represents the rate of change of the height of the balloon every minute, and the y-intercept (8.7) is the initial height of the balloon.

• The slope (8.7) represents the rate of change of the height of the balloon every minute, and the y-intercept (30.5) is the initial height of the balloon.

• 12

• 13

• 14

• 18

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 

The table represents a used car salesman's monthly salary including commission made on the sale of cars.  What is the slope and what does it represent?

• The slope is $850/car and it represents the commission per car sold.

• The slope is $425/car and it represents the commission per car sold.

• The slope is $1500 and it represents the monthly salary before commission.

• The slope is $850 and it represents the monthly salary before commission.