The scale drawing at right shows the first floor of a house. The actual dimensions of the garage are 20 feet by 25 feet. All angles are right angles. How many feet does each inch represent? That is, what is the scale?
What are the length and width of the living room on the scale drawing (in inches)?
What are the actual length and width of the living room (in feet)?
If the family wants to lay carpet in the living room and carpeting costs $1.25 per square foot, how much will the carpet cost?

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Li buys supplies so he can make and sell key chains. he begins to make a profit only after he sells 4 key chains. what point on the graph makes the most sense in this situation?

Which of the following is the shape of a cross section of the figure shown below