Ryan 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.

Cost (cents)
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Weight (ounces)

(a)
How much does the cost of the cheese increase for each ounce Ryan buys?
cents
(b)
What is the slope of the line?

No graph. We do not click on links because of potential problems with spam.

(a) To find out how much the cost of the cheese increases for each ounce Ryan buys, we need to determine the slope of the line.

Looking at the graph, we can see that for each increase in 1 ounce on the x-axis, the cost increases by 6 cents.

Therefore, the cost of the cheese increases by 6 cents for each ounce Ryan buys.

(b) The slope of the line can be calculated by determining the change in the y-values (cost) divided by the change in the x-values (weight).

Let's take two points on the line:

Point 1: (2, 12)
Point 2: (8, 48)

The change in y-values is: 48 - 12 = 36
The change in x-values is: 8 - 2 = 6

Therefore, the slope of the line is: 36/6 = 6.

So, the slope of the line is 6.

To answer questions (a) and (b) using the given graph, let's look at the slope of the line. The slope represents the rate of change between two variables, in this case, the cost and weight of the cheese.

To calculate the slope, we need to select two points on the line and determine the change in cost divided by the change in weight.

Let's choose two points, for example, (4, 24) and (10, 48), from the graph. These points represent the weight and cost of the cheese.

(a) To calculate the cost increase for each ounce Ryan buys, we calculate the change in cost divided by the change in weight:

Change in cost = 48 cents - 24 cents = 24 cents
Change in weight = 10 ounces - 4 ounces = 6 ounces

Cost increase for each ounce = Change in cost / Change in weight = 24 cents / 6 ounces = 4 cents per ounce

Therefore, the cost of the cheese increases by 4 cents for each ounce Ryan buys.

(b) To find the slope of the line, we can use one of the selected points and the slope formula:

Slope = (y2 - y1) / (x2 - x1)

Using the points (4, 24) and (10, 48):

Slope = (48 - 24) / (10 - 4) = 24 / 6 = 4

So, the slope of the line is 4.

Therefore, the answer to (a) is 4 cents and to (b) is 4.

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