drag each label to the correct location on the graph. not all tiles will be used. tony opens a savings…

drag each label to the correct location on the graph. not all tiles will be used. tony opens a savings account. the graph represents the amount of money in dollars that tony expects to deposit in his account in terms of the number of years since opening the account. 2,500 7,500 5,000 2,500 + 5,000x 5,000 + 2,500x 5,000 + 7,500x

drag each label to the correct location on the graph. not all tiles will be used. tony opens a savings account. the graph represents the amount of money in dollars that tony expects to deposit in his account in terms of the number of years since opening the account. 2,500 7,500 5,000 2,500 + 5,000x 5,000 + 2,500x 5,000 + 7,500x

Answer

Explanation:

Step1: Identify the slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Determine the y - intercept

The line crosses the y - axis above 7500. Among the given expressions, the constant terms in the linear expressions are 2500, 5000, 7500. Since the y - intercept is above 7500, we consider the expressions with 7500 as a constant term less likely. The y - intercept seems to be 5000.

Step3: Determine the slope

The line is increasing. If we assume the initial amount (y - intercept) is 5000 and it increases over time. Let's assume $x$ is the number of years. The line is increasing at a rate such that if we consider the form $y=mx + b$. By observing the graph, for each unit increase in $x$, the value of $y$ increases by 2500. So the equation of the line is $y = 5000+2500x$.

Answer:

$5000 + 2500x$