Question

hans buys cheese from a local farmer's market the graph below shows the cheese cost in cents versus its weight and ounces use the graph tan to the questions

Answer 1

a) For every increase in ounce, there is an increase in price by 24 cents

b) The slope of the line is 24 cents per ounce

Firsty, we want to calculate the value by which the cost of the cheese increase for each ounce Hans buys

We can get this from the graph

For 1 ounce, we can see the cost as 24 cents

Upon moving to 2 ounces, we can see the cost as 48 cents

Upon moving to 3 ounces, we can see the cost as 72 cents

Thus, we can conclude that for each change in the ounce of cheese by 1 ounce, we can see a rise in price of 24 cents

Secondly, we want to get the slope of the line

To do this, we use the slope equation

To use the slope equation, we need to select two points on the line

We have this as follows;

`\begin{gathered} m\text{ = }(y_2-y_1)/(x_2-x_1) \\ \\ (x_1,y_1)\text{ = (1,24)} \\ (x_2,y_2)\text{ = (3,72)} \\ \\ m\text{ = }(72-24)/(3-1) \\ \\ m\text{ = }(48)/(2) \\ \\ m\text{ = 24 cents/ounce} \end{gathered}`