A 2 column table with 5 rows. The first column, yards of red fabric, x, has the entries 1, 2, 3, 4. The second column, yards of blue fabric, y, has the entries 27, 26, 25, 24. Sophie is buying fabric to make items for a craft fair. The table shows some combinations of how much of each color fabric she might buy. Which equations model the total yards of fabric Sophie will buy?
Answers
Answer:
The 1st table represents a function
Step-by-step explanation:
* Lets explain how to solve the problem
- Function is a relation where each input has a single output
- The notation of the function is f(x) = y , where x is the input of the
function and y is the out put of the function
- The domain of the function is x and the range of the function is y
* Lets find which table represent a function
# First table:
x y
-3 -1
0 0
-2 -1
- In the first table
∵ -3 has only -1
∵ 0 has only 0
∵ -2 has only -1
∵ 8 has only 1
∵ Every x has a single y
∴ The table represents a function
∴ The 1st table represents a function
- In the second table
x y
-5 -5
0 0
-5 5
6 -6
∵ x = -5 has y = -5 and y = 5
∴ One x has two values of y
∴ The table doesn't represent a function
- In the third table
x y
-4 8
-2 2
-2 4
0 2
∵ x = -2 has y = 2 and y = 4
∴ One x has two values of y
∴ The table doesn't represent a function
- In the fourth table
x y
-4 2
3 5
-4 0
∵ x = -4 has y = 2 and y = 0
∴ One x has two values of y
∴ The table doesn't represent a function