Question

A savings account balance can be modeled by the graph of the linear function shown on the grid.



What is the rate of change of the balance with respect to the number of deposits?

(1 point)
Responses

$100 per deposit
$100 per deposit

$50 per deposit
$50 per deposit

$0.50 per deposit
$0.50 per deposit

$2 per deposit

Answer 1

To determine the rate of change of the balance with respect to the number of deposits from a linear function or graph, you need to identify the slope of the line that represents the relationship between the balance and the number of deposits. The rate of change is typically expressed as "change in balance per change in number of deposits."

If you can provide the specific details of the graph, such as coordinates of two points or the slope, I can help you calculate the rate of change. However, since specific points or a graph are not provided, let's analyze the choices given:

- $100 per deposit
- $50 per deposit
- $0.50 per deposit
- $2 per deposit

The rate of change that seems most plausible given typical savings account deposits is likely one of the higher values ($100 or $50) if large deposits are made, but it could also be lower depending on the linearity of the graph.

If you have any additional details from the graph or points to analyze, please let me know!