Question

interpreting slope from a table
noah 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 ($)
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: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let weight be $x$ and price be $y$. Take two points, say $(4,8)$ and $(8,12)$.

Step2: Calculate the slope

$m=\frac{12 - 8}{8 - 4}=\frac{4}{4}=1$. This means for each additional pound (increase in $x$ - value), the price ( $y$ - value) increases by $1$ dollar.

Answer:

For each additional pound, the price increases by $1.00$.