Rose has a savings account. Every month she deposits $20 in it. The graph shows the relationship between the months and the balance of Rose’s savings account. Write an inequality to show when Rose will have more than $160 in her savings account. Explain your answer.
please help!
Where’s the answer? I honestly was expecting an answer if there’s no answer then why’d you even make the question?🤨
To write an inequality that represents when Rose will have more than $160 in her savings account, let's analyze the graph.
From the graph, we can observe that the x-axis represents the number of months, while the y-axis represents the balance in Rose's savings account. We can see that the balance increases by $20 each month.
To determine the number of months it takes for Rose's savings account to exceed $160, we need to find the x-coordinate when the y-coordinate (balance) goes beyond $160.
Looking at the graph, we can see that the balance crosses the $160 mark at the fourth data point, which corresponds to 4 months. However, as it is an open circle on the graph, we need to consider the months after the fourth month as well.
To represent this situation algebraically, let's assign a variable to the number of months. Let's call this variable "m". The balance in Rose's savings account can be calculated as:
Balance = (20 * m) + initial_balance
The initial balance is not mentioned in the problem, but let's assume it is $0 since no other information is provided.
So, the equation becomes:
Balance = 20m + 0
We want to find when the balance is more than $160, so we can write the inequality as:
20m > 160
Now, to find the specific number of months, we can solve this inequality for "m":
m > 160/20
m > 8
Therefore, the inequality that represents when Rose will have more than $160 in her savings account is "m > 8". This means that Rose will have more than $160 in her savings account after the eighth month.
Please note that in this case, since the graph is continuous and represents an increasing function, we can find a precise solution. However, in real-life situations, it's possible that the balance could change abruptly due to additional factors not represented in this graph.
This is an example of why some questions go unanswered.
No graphs or diagrams on this site.