Classify each function shown in the tables below as either linear or exponential.
a) the following function is x y
-3 0
-1 6
1 12
3 18
b) the following function is x y
1 13
2 6.5
3 3.25
4 1.625

Function 1 is linear and Function 2 is exponential.

Step-by-step explanation:

Function 1:

x       y

-3     0  

-1      6  

1       12  

3       18

Calculate the slope

Formula of slope :

Substitute the values in the formula

Now using another two points

Substitute the values in the formula

Function 2:

x      y

1      13  

2     6.5  

3     3.25  

4     1.625

Calculate the slope

Formula of slope :

Substitute the values in the formula

Now using another two points

Substitute the values in the formula

In Function 1 slope remains same with distinct points.

In Function 2 Slope varies with distinct points

Thus Function 1 is linear and Function 2 is exponential.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !