Exam 18: Growth and Form

European car makers sometimes give fuel efficiency data in liters per 100 kilometers. A 2011 Fiat 500 gets 4.3 liters per 100 kilometers. What is this in miles per gallon?

You bought a house in 1999 for $140,000. The previous owner paid $55,000 for the same house in 1976. Comparing the converted costs, who paid more for the house? (Assume the 1999 CPI is 166.2 and the 1976 CPI is 56.9.)

Last summer you grew a giant squash that was 4.5 feet long and proportionally similar to your other squash. These squash tend to be about 1.5 feet long and weigh about 1 pound. About how much do you think the giant squash weighs?

A baby's head is about 1/3 its length; an adult's head is about 1/7 its length. This type of growth is called:

Add the following measurements and give an answer with the correct number of significant digits: 3.45 cm, 2.1 cm, and 6.030 cm.

An artist wishes to melt copper pennies to create a large penny proportional to an ordinary penny and with diameter 5 inches. An ordinary penny has diameter 3/4 in. How many pennies will be needed?

Trout costs about $6.50 per pound in the United States. If a Canadian dollar exchanges for 75 U.S. cents and a kilogram is about 2.2 pounds, what is the equivalent cost in Canadian dollars?

You want to copy a poster whose dimensions are 24 inches by 30 inches onto a piece of paper 11 inches by 17 inches. You want the image to be as large as possible, but maintain the proportions of the original poster. What are the dimensions of the image?

The cost of photographic paper is nearly proportional to the area of the paper. But some shops charge extra for "nonstandard" sizes. Why would they feel the need to do this?

Find the values of a and b so that the points (0.5, 21) and (1.4, 56) lie on the curve y = bx^a.

ChocoLot Ice Cream claims to be 20% less expensive than the leading brand. If a gallon of ChocoLot is $1.50, how much is the leading brand?

Kay buys a paperback book that is marked $6.99 U.S. and $9.99 Canadian. She uses this information to estimate that the exchange rate is $1 U.S. = ______ Canadian.

Suppose that the efficiency of a car is measured as 34 mpg on highway. How many liters does it use for 100 km? Use 2 decimal places.

If $b = \log 7$ , what is $\log 49 ?$

Karen's car gets 27 miles per gallon. What is this in kilometers per liter?

In 1999 a compact car can cost approximately $14,000. What is this cost in 1990 dollars, the year that you bought your last car? (Assume the 1999 CPI is 166.2 and the 1990 CPI is 130.7.)

A sparrow has a minimum speed of about 20 miles per hour. If a robin is twice as long as a sparrow and proportional in shape, what is the minimum speed of a robin?

You bought a house for $130,000 in 1999. The previous owner paid $50,000 for the house in 1980. Comparing the converted cost, who paid more for the house? (Assume the 1999 CPI is 166.2 and the 1980 CPI is 82.4.)

You are planning to travel by a car from a city to another. The distance between two cities is 150 miles. Assuming that the efficiency of the car is 28 mpg, find the amount of gas in liters needed for the trip. Use 2 decimal places.

A granite sculpture weighs approximately 4500 lb. If a smaller version 3/4 the height of the original is created from granite, how much will it weigh?