Finn's Mimstoon Rental Company charges an initial fee of $18 plus an

additional $31 per day to rent mimstoon's. Pocahontas's Mimstoon

Rental Company charges an initial fee of $35 plus an additional fee of

$29 per day. After how many days will the total cost charged by the

companies be the same? Round to the nearest day.

9 days

Step-by-step explanation:

Finn's Mimstoon Rental Company charges for rent, a fixed cost of $18 plus a variable cost of $31 per day.

If the variable C denotes the total cost in Dollars of rent for x days,

Then C = 18 + 31x, ... (1)

Again, Pocahontas's Mimstoon Rental Company charges for rent, a fixed cost of $38 plus a variable cost of $29 per day.

Therefore, C = 35 + 29x ... (2)

Now, if after x days the total cost charged by both the companies are same, then 18 + 31x = 35 + 29x

⇒ 2x = 17

⇒ x = 8.5 days.

⇒ x = 9 days {Round to the nearest days} (Answer)