Problem |
Hint |
3) Juan and Tai want to build a skate board ramp. They get a 10 foot long piece of plywood under which they will need to build supports. Tai's dad asks them to determine the height of their ramp. Following some advice they are going to give their ramp a slope of 1:3 so for every 3 feet in length across the flat ground they will raise the plywood by 1 foot - see drawing. What is the height of the ramp? Express your
answer to the nearest quarter foot.
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Using the pythagorean theorem to find the ramp's height.
height = ______ feet.
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4)A boy lives on the same road as his school and the road is straight. Every morning he bikes to school. This morning when he got halfway to school he notices that he dropped his math book and bikes back a quarter of the distance he just biked to pick it up. From this position he goes half the remaining distance to the school and notices that he has dropped his notebook. He bikes back 500 yards to pick it up. He's now 1100 yards from school. How far from school is his house?
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Fill out this table, using D = the distance to the school.
Leg | Current position | Remaining distance |
Leg 1: Go half way |
1⁄2D | 1⁄2D |
leg 2: Go back 1⁄4 |
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Leg 3: Go half way to school |
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Leg 4: Go back 500 yards |
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Leg 5: Go remaining 1100 yards |
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0
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D = ______ yards.
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5) The table shows some data on sales of tickets for a charity event. Paul assumes the data is linear. If that is true, what is the price of 9 tickets?
Number of tickets
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4
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6
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    9    
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13
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Price
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$36.75
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$51.25
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?
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$102.00
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- Assume the price change between the 6 ticket price and the 13 ticket price is linear.
- Set up the ratio of the 6-to-9 ticket price to the 6-to-13 ticket price and solve for the 9 ticket price:
9-ticket price = _____
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