Which scenario best describes the graph: (1 point) Responses Juan starts with $30 in savings and increases his savings amount by $5 each week. Juan starts with $30 in savings and increases his savings amount by $5 each week. Juan starts with $30 in savings and increases his savings amount by $1 each week. Juan starts with $30 in savings and increases his savings amount by $1 each week. Juan starts with $5 in savings and increases his savings amount by $30 each week. Juan starts with $5 in savings and increases his savings amount by $30 each week. Juan saves $30 per week.

Question

Y intercept is 30$ he start with it

Answer 1

To determine which scenario best describes the graph with a y-intercept of $30, we need to analyze the different scenarios provided based on the initial amount of savings and how much the savings increase each week.

1. Juan starts with $30 in savings and increases his savings amount by $5 each week.

   • Initial savings: $30
   • Weekly increase: $5
   • Equation: \( y = 30 + 5x \)

2. Juan starts with $30 in savings and increases his savings amount by $1 each week.

   • Initial savings: $30
   • Weekly increase: $1
   • Equation: \( y = 30 + 1x \)

3. Juan starts with $5 in savings and increases his savings amount by $30 each week.

   • Initial savings: $5
   • Weekly increase: $30
   • Equation: \( y = 5 + 30x \)

4. Juan starts with $5 in savings and increases his savings amount by $30 each week.

   • Initial savings: $5
   • Weekly increase: $30
   • Equation: \( y = 5 + 30x \)

5. Juan saves $30 per week.

   • Assuming he starts with $0, the equation would be \( y = 30x \).

From the scenarios, the first two have a y-intercept of $30, meaning both begin from $30 in savings. The crucial difference is their week-to-week increase, which affects the slope of the line in the graph.

However, since the question states that the y-intercept is $30 and doesn't specify the weekly increase as a factor in determining the correct graph, either of the first two scenarios can accurately represent the graph with a $30 starting amount.

In conclusion, either of the first two scenarios is correct regarding the y-intercept of $30:

• Juan starts with $30 in savings and increases his savings amount by $5 each week.
• Juan starts with $30 in savings and increases his savings amount by $1 each week.

If you need to choose just one scenario with a stronger emphasis on savings being incremented regularly, the first option might be the most intuitive as it suggests a higher increase over time.

Answer 2

y axis goes up by 10 multiples until it reach 90
x axis goes up by time in weeks. in 4 weeks he has 50$

Answer 3

Given the information you've provided:

• The y-axis represents the savings amount, increasing in multiples of 10 up to 90.
• The x-axis represents time in weeks.
• After 4 weeks, Juan has $50 in savings.

From this, we can calculate the weekly savings increase.

1. Starting Amount: We still have the understanding that Juan starts with $30, as determined before.
2. Amount After 4 Weeks: Juan has $50.
3. Calculate Total Increase in 4 Weeks:
   • Total amount gained in 4 weeks = $50 - $30 (initial savings) = $20.
4. Weekly Savings Increase:
   • Weekly increase = Total increase / Number of weeks = $20 / 4 weeks = $5 per week.

Now we can set up the linear equation representing Juan's savings:

• Starting amount (y-intercept) = $30
• Increase per week (slope) = $5

So the equation for Juan's savings is:

\[ y = 30 + 5x \]

Where:

• \( y \) is the total savings after \( x \) weeks.

Confirming the Scenario:

Using the equation, we can check the savings at various points:

• At Week 0 (Start):

  • \( y = 30 + 5(0) = 30 \)

• At Week 1:

  • \( y = 30 + 5(1) = 35 \)

• At Week 2:

  • \( y = 30 + 5(2) = 40 \)

• At Week 3:

  • \( y = 30 + 5(3) = 45 \)

• At Week 4:

  • \( y = 30 + 5(4) = 50 \)

This confirms that after 4 weeks, Juan indeed has $50 in savings based on the equation derived from the information provided.

Conclusion:

The best scenario that describes the graph based on your inputs is:

• Juan starts with $30 in savings and increases his savings amount by $5 each week.

The graph would show a straight line starting at $30 and increasing by $5 for each subsequent week, consistent with the data provided.