Sample Questions

1. An oil spill is spreading in a circular pattern away from a tanker. At 1 p.m. the spill covered 150 sq. ft. Two hours later, the diameter of the spill has tripled. What is the new area of the spill?
   
   
2. Kendra's current plan is to build a 400 gallon Koi pond. She likes the design of current plan except she thinks it is too small. Her idea is to double the dimensions of the pond—twice as deep, twice as wide, and twice as long. How will this affect how much water the pond will hold?

Sample Response

1. The oil spill's diameter tripled. That means area will have increased by 3*3 = 9.
   150 sq ft * 9 = 1,350 sq ft.
   The oil spill's new area at 3 p.m is 1,350 sq ft.
   
   
2. Doubling dimensions will cause the volume to increase by 2*2*2 = 8.
   Her new idea will have a 8*400 = 3200 gallon Koi pond.