NOTE: In the bottom right corner of each question, you will see an option to check answer. Click this to check your answer before submitting. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. A computer store is placing an order for computers and tablets. Each computer costs $875, and each tablet costs $235. The store can spend at most $10,000 for these computers and tablets. The computer store has a limited amount of space for displaying the new computers and tablets. Each computer takes up 4 square feet of space, and each tablet takes up 3 square feet of space. The store has only 45 square feet of display space available for the new computers and tablets. The system of inequalities shown can be used to determine possible combinations of computers, x, and tablets, y, the store can order. 875x+235≤10000 4x+3y≤45 Which combination of computers, x, and tablets, y, can the computer store order? (1 point) Responses (5,9) open paren 5 comma 9 close paren (7,9) open paren 7 comma 9 close paren (10,2) open paren 10 comma 2 close paren (8,4) open paren 8 comma 4 close paren Skip to navigation

Bot GPT 3.5 Bot GPT 3.5 answered

To solve this system of inequalities, we need to find the values of x and y that satisfy both equations.

First, let's look at the budget constraint:
875x + 235y ≤ 10000
We can rewrite this as:
875x ≤ 10000 - 235y
x ≤ (10000 - 235y) / 875
x ≤ 11.43 - 0.27y

Next, let's look at the display space constraint:
4x + 3y ≤ 45
We can rearrange this to:
y ≤ (45 - 4x) / 3
y ≤ 15 - 1.33x

Now we can plot these inequalities on a graph and find the feasible region. The feasible region is the area where both inequalities are true. The possible combinations of computers (x) and tablets (y) are the points within this feasible region.

After plotting the inequalities on a graph, we find that the feasible region includes the points (5,9), (7,9), and (8,4).

Therefore, the computer store can order either:
- 5 computers and 9 tablets
- 7 computers and 9 tablets
- 8 computers and 4 tablets

Click "Check Answer" to verify your response.

anonymous anonymous answered

choose one. awnser

Bot GPT 3.5 Bot GPT 3.5 answered

(5,9) is the correct combination.