Homework # 4 - Math 113
The problems on this homework must be done alone. The honor code is in effect.
Name:
1. The Americans with Disabilities Act (ADA) requires, among other things, that wheelchair service ramps have a slope not exceeding 1/12. Suppose that the porch at the front of a building is 3 feet off the ground. You want to make a ramp conforming to ADA standards that reaches from the ground to the porch. If the ramp is a straight line, how far away from the edge of the porch is the base of the ramp?
a. 3 inches
b. 3 feet
c. 24 feet
d. 36 feet
e. 48 feet
In New York City, there is a base charge, the moment that you get into a taxi, and then a per-mile charge. The charge, C, in dollars, for riding in a taxi for d miles is given by the formula C = 8 + 5d.
2. What is the per-mile charge for the taxi?
a. 8 dollars per mile
b. 5 dollars per mile
c. 13 dollars per mile
d. 18 dollars per mile
e. 1 dollar per mile
3. If a taxi trip costs $38, how far did you travel?
a. 3 miles
b. 6 miles
c. 8 miles
d. 9 miles
e. 272 miles
Airport shuttles are not taxies. The charge, C, for riding in an airport shuttle for d miles is given by the formula C = 18 + 3d.
4. What length of trip costs the same in an airport shuttle as in a taxi?
b. 4 miles
c. 5 miles
d. 6 miles
e. 7 miles