Question

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)	price ($)
4	6
8	12
12	18
16	24
20	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: Define slope calculation

Slope = $\frac{\text{Change in Price}}{\text{Change in Weight}}$

Step2: Pick two data points

Use (4, 6) and (8, 12)

Step3: Calculate slope

$\text{Slope} = \frac{12 - 6}{8 - 4} = \frac{6}{4} = 1.5$
This means for each additional pound, price increases by $1.50. We can verify with another pair: $\frac{18 - 12}{12 - 8} = \frac{6}{4} = 1.5$, confirming the slope.

Answer:

B. For each additional pound, the price increases $1.50.