A local coffee shop recently purchased $1200 worth of new equipment to improve their specialty gourmet brew. The
cost of producing a large cup of this specialty brew is $0.80.
The large cup is sold for $5.80.
a) Give the cost function C(x).
b) Give the revenue function R(x).
c) Find the number of large cups that must be sold for
the company to break even

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!