Question

Igloos unlimited charges $150 per night with a 50% discount for every night after the third night .if you stay for days how much will you pay?

Answer 1

150x, (x<=3)

225+75x, (x>3)

*x is the number of nights stayed.

Explanation:

-Let the number of days stayed be x.

#If the number of days is equal to or less than 3 days, the cost is:

`Cost=C_d* Days\\\\=150x`

Hence, the cost for x>3 is given by 150x

#If the number of days is greater than 3, the the cost is calculated as:

`\#First \ 3 \ Days.\\Cost=C_d* Days\\\\\\=150* 3\\\\=450\\`

`\\\#Next \ number \ of \ days\\\\Cost=C_d* Days\\\\=0.5(150)* (x-3)\\\\=75(x-3)`

We sum the two costs for x>3

`\sum{Costs}=450+75(x-3)\\\\=225+75x`

Hence, the cost for x>3 is given by 225+75x