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3) Biffy and Scott are hiking off of a mountain from different rest areas. Biffy's descent to the bottom of the trail can be represented by B=500-5t, where B is in yards and t is in
seconds. Scott's descent can be represented by the function S=200-4t, where S is in yards and t is in seconds. If they arrive at the bottom of the trail at the same time, how many
seconds later than Biffy did Scott leave his rest area?
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- Biffy starts at 500 yards elevation and descends at a rate of ____ yards/sec
- Scott starts at 200 yards elevation and descends at a rate of ____ yards/sec
- So, at elevation 0, Biffy has taken ______ seconds to get there.
- At elevation 0, Scott has taken ______ seconds to get there.
- Therefore, if they got to elevation 0 (the bottom of the trail) at the same time, Scott would have had to wait ______ seconds after Biffy started to start his descent.
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4) One-fifth of the fence posts around River Park are oak and the rest are pine. Jeremy places reflectors on 1/3 of the pine fence posts. If 231 fence posts in River Park do not have reflectors, how many are oak?
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- If 1⁄5 of the posts are oak then ______ of them are pine.
- _______ of the total number of posts do not get reflectors.
- None of the oak fence posts get reflectors.
- Then if x is the total number of posts, then the total number of posts that don't get reflectors are
________ (oak) + ________ (pine) = 231 posts.
- x = ______ total posts
- There are _____ oak posts.
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5) At Park Boat Rentals you can rent a kayak. The rates are given in the table for up to 4 hours of renting. If the table is continued, how much would it cost to rent a kayak for 8
hours?
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There is a fixed fee plus a per-hour rate involved here.
The rate is _____ + _____ for each hour, so for 8 hours the rate would be ______
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