Chapter+7,+Systems+Assessment

[] What is the value of x in the solution of the system of equations below? 8x - y =20 y=3x
 * page 238, #15 straight computation**

Gloria manages an apartment building. The building has only two sizes of apartments: small and large. The table below shows the rental income per month for each apartment size.
 * p242 looking for P.O.I., two rentals bringing in money (how many of each)**

Apartment Rental Income
 * Apartment Size || Rental Income per Month ||
 * small || $ 800 ||
 * large || $1200 ||

a. What is the total rental income for one month when 3 small apartments and 4 large apartments are rented? Show or explain how you got your answer. For parts (b), (c), and (d), define x and y as follows:

• x = the number of small apartments in the building • y = the number of large apartments in the building

b. Last month all the apartments in the building were rented. The total rental income for the month was $17,600. Write an equation in terms of x and y that represents this information.

c. The total number of small apartments and large apartments is 18. Write an equation in terms of x and y that represents this information.

d. Using the information in parts (b) and (c), determine the following:

• the number of small apartments in the building • the number of large apartments in the building

Show or explain how you got each of your answers. Sarah walked at a speed of 3 miles per hour. Beneta rode her bicycle at a speed of 9 miles per hour. They both traveled the same distance, but it took Sarah 4 more hours than it took Beneta. How many hours did it take Beneta? A. 2 B. 3 C. 4 D. 6
 * p245, 28 Distance, rate, time problem**