Question Description
1. A label on an iced tea drink mix says to use 2 tbsp of iced tea mix to make one serving (8 oz) of iced tea.
a. What is the ratio of drink mix to iced tea? (Hint: 1 oz = 2 tbsp)
b. Suppose you want to make a quart (32 oz) of iced tea. How many ounces of drink mix should be used?
c. How many tablespoons of iced tea mix should be used to make a quart (32 oz) of iced tea?
2. △ RST has coordinates R(-4, -3), S(0, 5), and T(7, -3).
a. Graph △ RST in a coordinate plane.
b. Find the perimeter of △ RST.
c. Find the area of △ RST.
d. The centroid of a triangle is theintersection of its medians. Use the following steps to find thecentroid of △ RST using segment partition.
i. Find the midpoint of . Label it N.
ii. Find the point, C, that partitions such that SC:CN has a ratio of 2:1 .
iii. Plot point C in your graph of △ RST.
e. Find and graph the midpoints of ,
,and
. Draw a segment connecting the vertex opposite each midpoint to the midpoint.
i. How does the intersection of the segments compare to point C from question 4?
3. Brian is renting an apartment. The floor plan of the apartment is shown below.
a. What is the total area of the apartment?
b. What are the dimensions of the master bedroom?
c. Brian wants to buy a dining room tablefrom the local furniture store. He sees a table that is 9 ft long and 3ft wide. Would it be reasonable to buy this table to put in the diningroom? Why or why not?
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