Convert the following measurements. a. 13 miles to yards b. 67 square feet to square inches c. 4,800 inches to feet d. 87,120 square yards to acres e. 3 miles to yards f. 54 inches to yards g. 12 yards to feet h. 7 acres to square feet

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h. 7 acres to square feet = 304920 square feet


There are a few conversions you are expected to know: feet to inches, yards to feet, miles to feet (or yards). Acres are a little more difficult, as they are generally defined in terms of a rectangle, not a square. Raised on a farm, I know there are 640 acres in a square mile, so dividing (5280 ft)^2 by 640 gives 43560 ft^2, the number of square feet in an acre.

To do conversions of any kind (not just distance or area), you write the conversion factor as a fraction with a value of 1. That is, the numerator has the same value the denominator has, but in different units. You choose the bottom units to cancel the units you have, and the top units to give you what you want.

a. 1 mile = 1760 yd
You want yards and have miles, so you write the conversion factor as (1760 yd)/(1 mi). Multiply by this.
.. (13 mi)*(1760 yd)/(1 mi) = 13*1760 yd = 22,880 yd

For area measures, you use the square of the linear conversion factor.
b. 1 ft = 12 in
.. 67 ft^2 * ((12 in)/(1 ft))^2 = 67*12^2 in^2 = 9648 in^2

Sometimes you need to go through an intermediate step if you don't have the direct conversion factor.
d. 87120 yd^2 * ((3 ft)/(1 yd))^2 * (1 ac)/(43560 ft^2) = 87120*3^2/43560 ac
.. = 18 ac

Answers: the graph is translated down 1 unit and the domain and range of g(x) is the same as the domain and range of f(x).