Answer:
See Below.
Step-by-step explanation:
Remember that the maximum account balance Ebony had was $400.
We can see that her bank balance first reached $400 on Day 4 and continued until Day 8.
Part A)
Since the maximum amount is $400, it is whenever the graph reaches (and stays) at its maximum, or the highest points on the graph.
We can see that at around Day 4, she first reached her maximum of $400 since that is the highest point of the graph.
And this continues until approximately Day 8.
Therefore, Ebony first reached $400 on Day 4 and stayed at $400 until Day 8.
Part B)
Refer above. The explanation is the same.
Part C)
Jade is says that the amount Ebony is depositing per day from Days 0 to 4 is the same as the amount Ebony is withdrawing per day from Days 8 to 12.
We also know that Day 12 is when Ebony’s account first reached 0.
Essentially, Jade is saying that the <em>slope</em> of the line from Days 0 to 4 is <em>the same</em> as the <em>slope</em> of the line from Days 8 to 12.
Ignoring the negative, we can immediately see that this is not true without calculating.
This is because the slope of the line from Days 8 to 12 is much steeper than than slope of the line from Days 0 to 4.
So, the two slopes are not equal since they are not the same steepness.
Therefore, this means that from Days 8 to 12, Ebony withdrew money at a <em>faster rate per day</em> than she had been depositing from Days 0 to 4.
Hence, Jade’s statement cannot be true.
are the slopes of perpendicular lines</h3>