u₁₂ represents the amount of loan remaining after 12 years
<h3>How to interpret u₁₂?</h3>
The function is given as:
u₀ = 8000

Given that the subscript n in
represents number of years and
represents the amount left to be paid after n years.
We can conclude that:
u₁₂ represents the amount of loan remaining after 12 years
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Answer:
Sophia gets 7,150
Step-by-step explanation:
Answer:
y = 2/3x - 3
Step-by-step explanation:
First let's look at what slope-intercept form is.
y = mx + b
m is the slope, which in this case is 2/3
b is the y-intercept, which we will find later.
Now that we have identified the parts of the equation, let's plug in what we know. Use the point given for your x and y values.
y = mx + b
1 = 2/3(6) + b
Let's simplify this to find b.
[multiply] 1 = 4 + b
[subtract 4]
-3 = b
We now have our b-value, which is also our y-intercept. Plug in this value into the standard slope-intercept equation.
y = 2/3x - 3
This is your equation.
Check this by plugging in the point again.
1 = 2/3(6) - 3
[multiply] 1 = 4 - 3
[subtract]
1 = 1
This expression is true; therefore, your answer is correct.
Hope this helps!