Justify Conclusions Patty's Pies made 2 peach pies using 10 cups of peaches. They made 3 pies using 15 cups of peaches and 4 pies using 20 cups of peaches. Predict how many cups of peaches would be needed to make 9 peach pies. Explain.

Reason Inductively the distance around a circle is also called the circumference. The diameter of a circle is the distance across the circle through its center.

a. The table shows the circumference and diameter for different circles. Complete the table by estimating the ratio \(\frac{c}{d}\) for each circle.

b. The ratio \(\frac{c}{d}\) is representing by the Greek letter \(\pi\), which is called pi. Describe the ratio \(\frac{c}{d}\) for the value you calculated.

c. Make a Prediction Find two circular objects. Measure the diameter and then make a prediction about the circumference of each circle. How could you check your prediction?

d. Use the Internet or another media source to research pi. Write a few sentence about you learned.

Model with Mathematics Write a real-world problem using ratios or rates that could be represented on the coordinate plane.

Persevere with Problems Give the coordinates of the point located halfway between (2, 1) and (2, 4).

Persevere with Problems The graph below shows the cost of purchasing pencils from the school office. The graph is missing a point to indicate the cost of 12 pencils. Complete the graph by plotting the missing information. Explain your answer.