You are making a knotted necklace. The table below shows the amount of string you need for different necklace lengths.
Here's the table:
Length of Necklace (inches)
10
11
12
13
Across from that to the right is:
Amount of string (inches)
200
202
204
206
I need help on to write and graph a function rule that represents the situation.
Here's my try at it. L = 200 + 2 x S
string = 200 + 2 (length of necklace - 10)
or
string = 180 + 2 length of necklace)
I don't think that'd work :T
Meaning I think I need a better function rule.
string = 180 + 2 (necklace)
if necklace = 10
string = 180 + 20 = 200
if necklace = 11
string = 180 + 22 = 202
if necklace = 12
string = 180 + 24 = 204 etc works fine
Okay and thank you, Have a great holiday and New Years!
You are welcome :)
To write a function rule that represents the situation, you need to determine the relationship between the length of the necklace and the amount of string needed.
From the given table, it appears that for each additional inch in the necklace length, two more inches of string are needed.
So, you can write the function rule as:
Amount of string (S) = Initial amount of string (I) + 2 * length of necklace (L)
Now, let's assign the values from the table:
For 10-inch necklace length: S = I + 2(10)
For 11-inch necklace length: S = I + 2(11)
For 12-inch necklace length: S = I + 2(12)
For 13-inch necklace length: S = I + 2(13)
Since the initial amount of string is given in the table as 200 inches, we can substitute I = 200 into the equation:
For 10-inch necklace length: S = 200 + 2(10) = 200 + 20 = 220
For 11-inch necklace length: S = 200 + 2(11) = 200 + 22 = 222
For 12-inch necklace length: S = 200 + 2(12) = 200 + 24 = 224
For 13-inch necklace length: S = 200 + 2(13) = 200 + 26 = 226
Therefore, the function rule that represents the situation is:
Amount of string (S) = 200 + 2 * length of necklace (L)
To graph the function, you can use the length of the necklace as the x-values and the amount of string needed as the y-values. Plot the points (10, 220), (11, 222), (12, 224), and (13, 226) on a coordinate system, and connect them with a smooth line to represent the function.