Assignment: Friday 4.23 Exit Tickets---7.4 Lesson 3 (7. RP.2.c)
1 answer:
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Answer:
a. $18.36 for 3 pizzas : k = 6.12
b. $4.17 for 3 pounds of bananas . k = 1.39
c. $16.48 for 4 pounds of potatoes . k = 4.12
d. 2 cups of flour to make 24 cookie . k = 2
Step-by-step explanation:
<u>PROPORTIONALITY:</u>
Two quantities x and y are said to proportional to each other
if for x ∝ y , x = y k.
Here, k i s called the PROPORTIONALITY CONSTANT.
⇒
Now, for the given quantities:
a. $18.36 for 3 pizzas [box]
Here,
So, the proportionality constant is 6.12.
b. $4.17 for 3 pounds of bananas [box]
Here,
So, the proportionality constant is 1.39.
c. $16.48 for 4 pounds of potatoes [box]
Here,
So, the proportionality constant is 4.12.
d. 2 cups of flour to make 24 cookies
Here,
So, the proportionality constant is 12
Answer:
This is known as grandi's series, the proof is in the explanation
Step-by-step explanation:
grandi's series, is given by = 1-1+1-1+1-1+1-1...
1 - = 1 - (1-1+1-1+1-1+1-1) = 1-1+1-1+1-1+1-1 =
1- =
+
= 1
2 = 1
= 1/2