Question

money the graph shows a proportional relationship between a persons total savings in dollars and the number of weeks they have been saving. write an equation that models the savings.
the equation $y=\square$ models the savings.
chart title: money; x-axis: number of weeks, ranging from 0 to 10; y-axis: total savings ($), ranging from 0 to 630; the graph is a straight line passing through the origin and points such as (2,126), (4,252), (6,378), (8,504), (10,630)

Explanation:

Step1: Recall proportional equation form

Proportional relationships follow $y = kx$, where $k$ is the constant of proportionality (weekly savings).

Step2: Calculate $k$ using a point

Use the point $(10, 630)$: $k = \frac{y}{x} = \frac{630}{10} = 63$.

Step3: Write the final equation

Substitute $k=63$ into $y=kx$.

Answer:

$y=63x$