Question

Brian buys cheese from the local farmer's market. The graph below shows the cheese cost (in cents) versus its weight (in ounces).Use the graph to answer the questions.

Answer 1

(a)18 cents

(b)18

Explanation:

Part A

To determine how much the cost of the cheese increase for each ounce Brian buys, we need to find the slope of the line.

Pick any two well-defined points on the line:

`\begin{gathered} (x_1,y_1)=(1,18) \\ \mleft(x_2,y_2\mright)=\mleft(2,36\mright) \end{gathered}`

Substitute these points into the slope formula to find the slope.

`\text{Slope, m=}(y_2-y_1)/(x_2-x_1)=(36-18)/(2-1)=(18)/(1)=18`

For each ounce of cheese Brian buys the cost increases by 18 cents.

(b)As seen from part(a), the slope of the line is 18.