Answer:
The pattern for hats is [tex]\frac{n}{1.5}[/tex] and the pattern for scarves is [tex]n\times 1.5[/tex] ; where n is the no. of hat or scarf respectively
Explanation:
Let, cost of hat and scarves be x and y respectively
Then, according to question,
y (cost of scarves) = [tex]1.5 \times x[/tex] (cost of hats)
or,[tex]x =\frac{y}{1.5}[/tex]
Calculating for hats,
For 1 hat; putting y = 1 [tex]x = \frac{1}{1.5}[/tex]
For 2 hats; putting y = 2 [tex]x = \frac{2}{1.5}[/tex]
For 3 hats; putting y = 3 [tex]x = \frac{3}{1.5}[/tex]
For 4 hats; putting y = 4 [tex]x = \frac{4}{1.5}[/tex]
For 5 hats; putting y = 5 [tex]x = \frac{5}{1.5}[/tex]
Therefore, we can see the pattern for hats is [tex]\frac{n}{1.5}[/tex], where n is no. of hats
Calculating for scarves,
For 1 scarves; putting x = 1 x = [tex]1\times 1.5[/tex]= 1.5
For 2 scarves; putting x = 2 x = [tex]2\times 1.5[/tex]= = 3.0
For 3 scarves; putting x = 3 x = [tex]3\times 1.5[/tex]= = 4.5
For 4 scarves; putting x = 4 x = [tex]4\times 1.5[/tex]= = 6.0
For 5 scarves; putting x = 5 x = [tex]5\times 1.5[/tex]= = 7.5
Therefore, we can see the pattern for scarves is[tex]n\times 1.5[/tex], where n is no. of scarves