Finn's Mimstoon Rental Company charges an initial fee of $18 plus anadditional $31 per day to rent mimstoon's. Pocahontas's MimstoonRental 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 thecompanies be the same? Round to the nearest day.
Accepted Solution
A:
Answer:9 daysStep-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)