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?
5 answers
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
(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
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.
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?
1 answer