Four members of the Kaplan family will take a river trip down the Colorado River in Colorado State Park. The rafting company charges $10 per day and $15 per person for a half-day river trip, or $100 flat rate for a half-day river trip. The raft can hold up to 10 people. How much will the trip cost the Kaplan family at the per person rate? How many people must be on the river trip to make the flat rate less expensive than the per person rate?
Oops. I didn't see that only 4 members of the family are riding.
So the cost per person is 15 + 10/4 = 17.50
because they split the $10 fee 4 ways.
also, for the 2nd part you need
100 < 10+15n
15n > 90
so n > 6
So, you still need 7 or more, because the cost for 6 people is the same either way.
. TRAVEL Four members of the Kaplan family will take a river trip down the Colorado River in Colorado State Park. The rafting company charges $10 per day to rent the raft and $15 per person for a half-day river trip, or $100 flat rate for a half-day river trip. The raft can hold up to 10 people. a. How much will the trip cost the Kaplan family at the per person rate? b. How many people must be on the river trip to make the flat rate less expensive than the per person rate?
I think its 6
because 15x+10=100
Assuming the $10/day rate holds even for a half-day trip,
(10 + 15*10)/10 = $16/person if there are 10 people in the family
If n people ride for the flat rate, then
100/n < 16
6.25 < n
So, it's cheaper for 7 or more to pay the flat rate
To calculate the cost of the river trip for the Kaplan family at the per person rate, we need to know the number of family members going on the trip. As you mentioned, there are four members of the Kaplan family.
For a half-day river trip, the cost per person is $15. So, for four family members, the total cost would be $15 multiplied by 4, which equals $60.
Now, let's determine how many people must be on the river trip to make the flat rate less expensive than the per person rate.
The flat rate for a half-day river trip is $100. To determine the per person cost at the flat rate, we divide $100 by the number of people who can be on the raft. In this case, the raft can hold up to 10 people.
So, the per person cost at the flat rate would be $100 divided by 10, which equals $10.
To find out when the flat rate becomes cheaper than the per person rate, we need to determine when the per person cost at the flat rate is less than $15 (the per person rate).
Since $10 is less than $15, the flat rate becomes cheaper per person if there are more than 6 people on the river trip (since 6 people would result in a per person cost of $10).
Therefore, when there are more than 6 people on the river trip, the flat rate is less expensive than the per person rate.