Question

interpreting slope from a table
rohit visited a pumpkin patch with his family. the table shows the relationship between the weight and price of a pumpkin.
pumpkin patch sales
weight (lb) 4 8 12 16 20
price ($) 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.

Explanation:

Step1: Calculate slope (price/weight)

Slope = $\frac{\text{Change in Price}}{\text{Change in Weight}} = \frac{6-0}{4-0} = \frac{6}{4} = 1.5$

Step2: Interpret the slope value

The slope means for each +1 lb, price rises by $1.50.

Step3: Verify other options

Check inverse slope: $\frac{1}{1.5} \approx 0.67$, so other options are incorrect.

Answer:

For each additional pound, the price increases $1.50.