. (4, 9) and (1, 6) the slope between the two points
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The price of 1 hat is $ 5 and price of 1 t-shirt is $ 8
<em><u>Solution:</u></em>
Let "s" be the price of 1 shirt
Let "h" be the price of 1 hat
<em><u>Given that Jones buys 7 t-shirts and 6 hats for $86</u></em>
Therefore, we can frame a equation as:
price of 1 shirt x 7 + price of 1 hat x 6 = 86
7s + 6h = 86 ------ eqn 1
<em><u>Also given that The price of each t shirt is $3 more than the price of each hat</u></em>
price of 1 shirt = 3 + price of 1 hat
s = 3 + h -------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Substitute eqn 2 in eqn 1
7( 3 + h ) + 6h = 86
21 + 7h + 6h = 86
21 + 13h = 86
13h = 86 - 21
13h = 65
<h3>h = 5</h3>From eqn 2,
s = 3 + h = 3 + 5 = 8
<h3>s = 8</h3>Thus price of 1 hat is $ 5 and price of 1 t-shirt is $ 8
we are given
we have to write this in
form
we can rewrite our function as
we can simplify value inside parenthesis
we get
now, we can compare it with
form
and find 'a'
we get
Since,
so, this is exponential decay function.........Answer