Question

Select the correct answer.

Julissa is printing out copies for a work training. It takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. She needs to print no fewer than 8 copies within 25 minutes.

Which system of inequalities represents the number of color copies, x, and grayscale copies, y, that Julissa can print to meet her goal?
A.
2x + 4y ≤ 25
x + y ≥ 8
B.
4x + 2y ≥ 25
x + y ≥ 8
C.
4x + 2y ≤ 25
x + y ≤ 8
D.
4x + 2y ≤ 25
x + y ≥ 8

Answer 1

D.

4x + 2y ≤ 25

x + y ≥ 8

Explanation:

Answer 2

D) 4x + 2y ≤ 25 , x + y ≥ 8 is the required system of inequalities

to represent the given situation.

Explanation:

Here, let the number of color copies = x

Now, the time taken to print each color copy = 4 minutes

⇒Time taken to print x color copies = x times ( Time taken by each copy)

= 4 (x) = 4x

and let the number gray scale copies = y

The time taken to print each gray scale copy = 2 minutes

⇒Time taken to print y gray scale copy = y times (Time taken by each copy)

= 2 (y) = 2y

Total copies printed = x + y

Maximum time taken to print x color copies and y grayscale copies

= 4x + 2y

So, according to the question:

4x + 2y ≤ 25 ( as maximum allotted time is 25 minutes)

and x + y ≥ 8 (as minimum number of copies is 8)

hence, the above system is the required system of inequalities to represent the given situation.