Renya has $5,000 in savings to pay for her yearly competitive soccer fees. She pays these fees monthly. She pays $150 a month for her team’s field rentals and $200 a month for coaching. Renya has paid her fees for the last 4 months. Which of the following correctly plots a point representing Reyna's balance after paying 4 months worth of expenses? What does the y-value represent?(1 point)

Responses

(−4,6,400)

; Renya has a balance of $6,400 after paying her soccer fees for 4 months.
left parenthesis negative 4 comma 6,400 right parenthesis ; Renya has a balance of $6,400 after paying her soccer fees for 4 months.

(4,−1,400)
; Renya has a balance of negative $1,400 left after paying her soccer fees for 4 months.
left parenthesis 4 comma negative 1,400 right parenthesis ; Renya has a balance of negative $1,400 left after paying her soccer fees for 4 months.

(3,600,4)
; Renya has $3,600 left in her account after paying her soccer fees for 4 months.
left parenthesis 3,600 comma 4 right parenthesis ; Renya has $3,600 left in her account after paying her soccer fees for 4 months.

(4,3,600)
; Renya has $3,600 left in her account after paying her soccer fees

1 answer

To determine the correct representation of Renya's balance after paying her soccer fees for 4 months, we first need to calculate her total expenses over that time.

Renya pays the following:

  • Field rentals: $150 per month
  • Coaching fees: $200 per month

Total monthly expenses:

\[ 150 + 200 = 350 \text{ dollars per month} \]

Over 4 months, the total expenses would be:

\[ 350 \times 4 = 1,400 \text{ dollars} \]

Now we can find Renya's balance after these expenses. She started with $5,000 in savings, so we subtract her total expenses:

\[ 5,000 - 1,400 = 3,600 \text{ dollars} \]

After 4 months, Renya has $3,600 left.

Now, for the coordinate point that represents this situation:

  • The x-value represents the number of months (4 months),
  • The y-value represents Renya's balance ($3,600).

Therefore, the correct plot representing Renya's balance after paying her fees for 4 months is:

\((4, 3,600)\)

The y-value of the point represents Renya's balance, which is $3,600 left in her account after paying her soccer fees for 4 months.

So, the answer is:

\((4, 3,600)\); Renya has $3,600 left in her account after paying her soccer fees for 4 months.