To determine the slope of the graph of the data, we can look at how the price changes with each additional pound of pumpkin weight.
Based on the given data:
- When the weight increases from 4 pounds to 8 pounds (a change of 4 pounds), the price increases from $6 to $12 (a change of $6).
- When the weight increases from 8 pounds to 12 pounds (a change of 4 pounds), the price increases from $12 to $18 (a change of $6).
- This pattern continues consistently across the data points.
To find the slope (m), we use the formula for the slope of a line:
\[ \text{slope} = \frac{\text{change in price}}{\text{change in weight}} \]
Using any two consecutive data points to compute the slope, for example:
- Let's take the points (4, 6) and (8, 12).
\[ \text{slope} = \frac{12 - 6}{8 - 4} = \frac{6}{4} = 1.5 \]
The slope is 1.5, which means that for each additional pound, the price increases by $1.50.
Thus, the correct statement is:
- For each additional pound, the price increases $1.50.
Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.
A table titled Pumpkin Patch Sales with two columns and six rows. The first column, Weight in pounds, has the entries, 4, 8, 12, 16, 20. The second column, Price in dollars, has the entries, 6, 12, 18, 24, 30.
Which statement describes the slope of a graph of the data?
For each additional pound, the price increases $0.50.
For each additional pound, the price increases $1.50.
For every additional dollar, the pumpkin can increase by 1.5 pounds.
For every additional dollar, the pumpkin can increase by 0.5 pounds.
1 answer
1 answer