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he proportional relationship between the cost and number of pounds of the Honey Crisp Apples is displayed in the graph.

You can find the unit rate of slope for the Honey Crisp apples by choosing two points on the line.

m = riserun

Let’s use the points (3, $4.50) and (4, $6.00).

The rise is _____.
The run is _____.

Slope is m = riserun

The unit rate for Honey Crisp apples is $_____ per pound.

The equation y = 1.75x represents the Granny Smith apples. What is the unit rate for the Granny Smith apples?

The unit rate for the Granny Smith apples is $______ per pound.
The unit rate for the Honey Crisp apples is $_______ per pound.

Which one is a better buy?

1 answer

To find the unit rate of the Honey Crisp apples using the points (3, $4.50) and (4, $6.00), we need to determine the rise and the run.

  1. Calculate the rise: The rise is the change in the y-values (cost) between the two points. \[ \text{Rise} = 6.00 - 4.50 = 1.50 \]

  2. Calculate the run: The run is the change in the x-values (pounds) between the two points. \[ \text{Run} = 4 - 3 = 1 \]

  3. Calculate the slope (m): The slope is given by the formula \( m = \frac{\text{rise}}{\text{run}} \). \[ m = \frac{1.50}{1} = 1.50 \]

This means that the unit rate for Honey Crisp apples is $1.50 per pound.

Next, we evaluate the equation for the Granny Smith apples:

The equation \( y = 1.75x \) indicates that the unit rate for Granny Smith apples is $1.75 per pound (the coefficient of \( x \)).

Now we summarize:

  • The unit rate for Honey Crisp apples is $1.50 per pound.
  • The unit rate for Granny Smith apples is $1.75 per pound.

Which one is a better buy?

The Honey Crisp apples are a better buy since they cost $1.50 per pound, compared to $1.75 per pound for the Granny Smith apples.