Question

amanto buy cheese from the local farmers 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)

Consider that the graph is a straight line passing through the origin.

So the cost of buying no cheese is zero cents.

b)

The straight line also passes through the point (1,24), so the cost of buying 1 ounce of cheese is 24 cents.

c)

Consider that the rate of increase of cost per ounce of cheese is calculated as,

`\begin{gathered} m=(\Delta y)/(\Delta x) \\ m=(24-0)/(1-0) \\ m=24 \end{gathered}`

Thus, the cost increases by 24 cents for each ounce of cheese Alonzo buys.

d)

Yes, the amounts in part (b) and (c) are same.

It is because the straight line curve passes through the origin. And anything relative to the origin, are absolute only.

Therefore, the first option is the correct choice.