Question

The graph shows the amount of money Sam has in his savings account each week. A line passes through the points. Which of the following statements about the graph are true? Which equation represents the line that passes through the points? Select all that apply.
image
A
x represents the amount in savings
B
y represents the amount in savings
C
y = x + 5
D
y = 5x

Answers

GPT-4o mini
Based on the information provided about the graph, here are the evaluations of the statements:

A. **x represents the amount in savings** - This statement is **false**. In the context of a savings account graph, typically, the x-axis represents time (weeks) and the y-axis represents the amount in savings.

B. **y represents the amount in savings** - This statement is **true**. In this scenario, y is usually used to represent the dependent variable, which in this case is the amount in savings.

C. **y = x + 5** - Without the actual graph, we cannot determine if this equation is correct. However, this form suggests that the amount in savings increases linearly with time, starting at $5 when x = 0, which might or might not align with the data points shown.

D. **y = 5x** - Similar to C, without the graph, we can't confirm this equation as correct. This equation implies that the amount in savings increases at a rate of $5 per week, and it would depend on whether the points align with this pattern.

Thus, from the statements provided:
- **True**: B
- **False**: A
- The truth of C and D cannot be determined without viewing the graph or data points.

If you have specific points from the graph, I can help analyze them further!