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?

a.  3 miles

b.  4 miles

c.  5 miles

d.  6 miles

e.  7 miles