The manager of an apartment building increases the monthly
2 answers:
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Using a system of equations, it is found that Peter had $48 at first.
<h3>What is a system of equations?</h3>A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Peter's money.
- Variable y: Henry's money.
The ratio of peters money to henrys money is 4 : 3, hence:
After Peter spent $12, they had the same amount, hence:
y = x - 12.
Then, replacing in the ratio:
4(x - 12) = 3x
x = 48.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
Using the point-slope form:
The equation of the line is given by:
.....[1] where
m is the slope of the line and is the point on the line.
As per the statement:
Given: Two points i,e (34, 76) and (42, 91)
First calculate slope(m):
Slope is given by:
Substitute the given values we have;
Now, substitute the value of m and (34, 76) in [1] we have;
Using distributive property:
Add 76 to both sides we get;
Therefore, the equation of the trend line is: