Abigail is buying coffee beans to brew coffee for a special celebration. Dark roast beans cost $4 a pound, and light roast beans cost $3 a pound. She plans to buy at least 7 pounds of beans and spend no more than $27. Which of the following is a possible combination for the number of pounds of beans she can buy?
Question 20 options:

A)

2 pounds of dark beans and 6 pounds of light beans

B)

5 pounds of dark beans and 5 pounds of light beans

C)

8 pounds of dark beans and 1 pound of light beans

D)

4 pounds of dark beans and 2 pounds of light beans

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d

10.4 inches

step-by-step explanation:

2x2x2.6