Question

mariah is putting together a 1,500-piece puzzle. she has already placed 235 pieces. on average, she places 12 pieces every minute. which equation models the number of pieces, n, she has placed after t minutes?
options:
$n = 12t + 1,500$
$n = 235t + 1,500$
$n = 12t + 235$
$n = 12t$

Explanation:

Step1: Identify initial and rate

Initial pieces: 235. Rate: 12 pieces per minute (wait, no, wait the problem says "12 pieces every minute"? Wait, no, looking back: "She has already placed 235 pieces. On average, she places 12 pieces every minute." Wait, no, maybe typo? Wait the options: let's re-express. Wait, the problem: Mariah is putting together a 1500 - piece puzzle. She has already placed 235 pieces. On average, she places 12 pieces every minute. Which equation models the number of pieces, n, she has placed after t minutes?

So initial amount (already placed): 235. Rate: 12 pieces per minute. So total pieces n = initial + rate * time. So n = 235 + 12t? Wait no, wait the options: let's check the options again. Wait the options are:

1. \( n = -12t + 1500 \)
2. \( n = -235t + 1500 \)
3. \( n = 12t + 235 \)
4. \( n = 12t \)

Wait, maybe I misread. Wait the problem says "She has already placed 235 pieces. On average, she places 12 pieces every minute." So the number of pieces placed after t minutes is the already placed (235) plus the pieces placed in t minutes (12t). So n = 12t + 235. Let's check the options. The third option (if we count the circles) is \( n = 12t + 235 \)? Wait the user's image: the options are:

• \( n = -12t + 1500 \)
• \( n = -235t + 1500 \)
• \( n = 12t + 235 \) (wait no, the second circle from left: "n = 12t + 235"? Wait the user's image: the options are:

First circle: \( n = -12t + 1500 \)

Second circle: \( n = -235t + 1500 \)

Third circle: \( n = 12t + 235 \) (wait, no, the text in the image: "n = 12t + 235" is one of the options? Wait the user's image: the options are:

• \( n = -12t + 1500 \)

• \( n = -235t + 1500 \)

• \( n = 12t + 235 \)

• \( n = 12t \)

Wait, the correct model is: initial pieces (235) + rate (12 per minute) * time (t). So n = 12t + 235. So the option with \( n = 12t + 235 \) is the correct one.

Step2: Verify the equation

The number of pieces placed, n, is the sum of the pieces already placed (235) and the pieces placed in t minutes (12t, since 12 per minute). So \( n = 12t + 235 \). This matches the third option (assuming the third circle is \( n = 12t + 235 \)).

Answer:

The equation that models the number of pieces Mariah has placed after \( t \) minutes is \( \boldsymbol{n = 12t + 235} \) (corresponding to the option with this equation, likely the third circle from the left or the second circle from the left depending on the image's layout, but based on the logic, the correct equation is \( n = 12t + 235 \)).