Question

Sara is saving her money in a piggy bank

and counts it each month. The graph
shows her monthly savings. Choose any
two points and draw a slope triangle.
Dilate the slope triangle along the graph
to determine whether the amount Sara
saves each month is constant.

Answer 1

To check if Sara's savings are constant, we can select two points on her graph, form a slope triangle, and check if the slope remains consistent throughout the graph.

Step-by-step explanation:

The question involves understanding and calculating the slope of a graph representing savings over time, which is a topic within the Mathematics subject, specifically within the Algebra branch. To determine if Sara saves a consistent amount each month, we will choose any two points on her savings graph and draw a slope triangle. From there, we will dilate the slope triangle to see if the amount she saves is constant.

If Sara's savings are consistent, the slope between any two points on the graph will be the same, indicating a straight line. When we observe the change in savings over time (∆y) divided by the change in time (∆x), this gives us the slope. If the slope remains the same throughout different intervals, it indicates that Sara saves the same amount each month.

Answer 2

Answer: It is not possible for me to draw a slope triangle or dilate it along the graph without more information about Sara's monthly savings.

To determine whether the amount Sara saves each month is constant, you can choose any two points on the graph and use them to calculate the slope of the line connecting them. If the slope is constant for all pairs of points, then the amount Sara saves each month is constant. If the slope is not constant, then the amount Sara saves each month is not constant.

To calculate the slope of the line connecting two points, you can use the following formula:

slope = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

You can then use the slope triangle to visualize the slope of the line connecting the two points. If you dilate the slope triangle along the graph and the slope remains constant, then the amount Sara saves each month is also constant.

Step-by-step explanation: