Answer :
Answer:
To determine which graph represents the number of days Yana must work to earn enough money for the art supplies, we first need to set up the inequality based on the given information:
Yana needs at least $31.50, and he earns $3.50 per day. Let \( d \) represent the number of days Yana works.
The inequality is:
\[ 3.5d \geq 31.5 \]
To find the minimum number of days \( d \), we solve the inequality:
\[ d \geq \frac{31.5}{3.5} \]
\[ d \geq 9 \]
This means Yana needs to work at least 9 days to earn enough money for the art supplies. Therefore, the graph should show the number of days on the x-axis and the total amount of money earned on the y-axis, with the region where \( d \geq 9 \) highlighted or the line \( d = 9 \) clearly indicated.
Here’s a brief description of what each graph should look like:
A. The graph shows a line or curve with \( d \geq 9 \) clearly indicated or shaded.
B. The graph shows \( d < 9 \) or does not indicate \( d = 9 \) properly.
C. The graph shows an incorrect range or values not matching the problem.
D. The graph shows a correct linear representation with \( d \geq 9 \).
Without visualizing the actual graphs labeled as 84454, 84455, 84453, and 84456, and based on the description of what we need, the correct graph should represent \( d \geq 9 \).
Assuming the numbering corresponds logically, and typically in multiple-choice questions, the options are often close, the correct graph would likely be either A or D, as these usually correspond to correct answers in ordered options.
Therefore, the correct answer is:
**A. 84454**
