Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar
cheese and Swiss cheese. How many
pounds of cheese can Keisha get if she
buys only Cheddar cheese? Only Swiss
cheese? A mixture of both cheeses? What
linear equation in standard form can she
use to model the situation?

only cheddar: 10 lbs

only swiss: 6 lbs

mixture: many possible amounts

equation: 3x+5y=30

Step-by-step explanation:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

the answer is d. 75%