Question

15. A school fair committee wants to sell t-shirt for their color fair. They found a
supplier that sells t-shirts at a price of P175.00 a piece but can charge
P15,000 for a bulk order of 100 shirts and P125.00 for each excess t-shirt
after that. Use a piecewise function to represent the cost in terms of the
number of t-shirt purchased.
175n
, if 0 >n > 99
15 000
if n = 100
15 000 + 125(n - 100) ,if n > 100
B.
175n
15 000
15 000 + 125(n + 100)
,if 0 >n 299
, if n = 100
,if n > 100
С.
175n
if 0 <n < 99
15 000
.if n = 100
15 000 + 125(n - 100) , if n > 100
175n
15 000
15 000 + 125(n + 100)
if 0 <n s 99
,if n = 100
if n > 100​

Answer 1

Step-by-step explanation:

Assume, x represents the number of t-shirts and y be price.

Price of t shirt = y → price of x t shirts = yx

As y depends on x, we can say,

f(x) = yx

Number os t shirts will be integer(+ve). So, if x < a, then we can say x ≤ a - 1

For, number of t shirts less than 100 → x > 100

f(x) = 175x , 0 < x ≤ 99

For x = 100

f(x) = 150x , x = 100

For x > 100

f(x) = 125x , x > 100

Hence,

f(x) = 175x , 0 < x ≤ 99

150x , x = 100

125x , x > 100

Answer 2

Given: t-shirts are sold at a price range of P175.00 a piece.

t=shirt price for bulk order is P15,000 for a bulk order of 100 shirts and P125.00 for each excess t-shirt

Solution;

Assume, x represents the number of t-shirts and y be price.

Price of t shirt $= y$

price of x t shirts $= yx$

Observe that, y depends on x,  

$f(x) = yx$

Understand that,  Number of t-shirts will be integer(+ve). So, if $x < a$, then we can say $\[x \le a - 1\]$

Write the function t-shirts less than 100.

For number of t shirts less than 100 $(x > 100)$

$f(x) = 175x , 0 < x \[ \le \] 99$

For number of t shirt. $x = 100$

$f(x) = 150x , x = 100$

For number of t shirt, $x > 100$

$f(x) = 125x , x > 100$

Hence, the correct representation is,

$f(x) = 175x , 0 < x \[ \le \] 99$

$150x , x = 100$

$125x , x > 100$