Interpreting Slope and Y Intercept in Context

Interpret the meaning of the slope in the graph below.

• 2 cm of rainfall per hour

• ¹/₄ cm of rainfall per hour

• ¹/₂ cm of rainfall per hour

• 4 cm of rainfall per hour

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?

• $0.5 per day

• $0.5 for each mile driven

• How much charlie paid for the Truck

• 0.5 miles each day

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 per car and it represents the commission per car sold.

• The slope is $425 per 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.

What is the meaning of the slope?

• You will receive $4 per paper delivered.

• You will receive $5 per paper delivered

• You will receive $20 per paper delivered

• You will receive $20 for the day

The graph shows the number of newspapers delivered and total pay for Leona’ newspaper delivery job.

What does the slope of this graph represent?

• The cost per newspaper

• The total cost of 20 newspapers

• The number of miles Leona travels

• The cost per mile

The graph represents the height of a burning candle. What is the meaning of the slope?

• The ending height of the candle

• the rate at which the candle is losing height each hour

• the original height of the candle

 Neko loves to make cakes.  The following table shows how the number of eggs he has left changes as he makes cakes.
What is the meaning of the y-intercept?

• He uses 5 eggs for every 2 cakes.

• He started with 47 eggs.

• He uses 47 eggs for every 0 cakes.

• He started with 5 eggs.

What is the meaning of the y-intercept?

• You gain 12 points per game.

• You start with 12 points.

• You lost 12 points per game.

• You don't start with any points.

What is the meaning of the y-intercept? 

• The cost will increase by $12 per hour

• The initial fee is $15 before hourly charges

• The cost will increase by $15 per hour

• The initial fee before hourly charges is $12

The graph represents the height of a burning candle.  What is the meaning of the y-intercept?

• It takes 10 hours to burn the entire candle

• The candle is getting shorter by one inch per hour.

• The candle is getting taller by one inch per hour.

• The candle started at 10 inches tall.