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<h2>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.</h2>Step-by-step explanation:
According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.
To find the equation, we just need to find the slope, using two points (0,0) and (2,40).
Therefore, the equation is , which shows a direct proportion between variables.
Now, in 24 hours, it would travel
It would travel 480 miles.
Therefore, the right answer is the second choice.
Answer
Find out the how much did each computer cost before finance charges .
To proof
Let us assume that the price of the desktop computer be x .
Let us assume that the price of the laptop computer be y .
As given
the laptop cost $450 less than the desktop.
than the equation is written
y = x - 450
As given
He paid for the computers using two different financing plans.
For the desktop the interest rate was 7% per year,
the laptop it was 5.5% per year.
The total finance charges for one year were $279.
7 % is written in the decimal form
= 0.07
5.5 % is written in the decimalform
=0.055
than the equation becomes
0.07x + 0.055y = 279
simplify the above
we get
70x + 55y = 279000
put y = x - 450 in the equation
we get
70x + 55 ( x - 450 ) = 279000
70x + 55x - 24750 = 279000
125x = 303750
x = $ 2430
put in the y = x - 450
y = 2430- 450
y =$ 1980
Therefore the desktop cost $ 2430 before finance charge.
the laptop cost $ 1980 before finance charge.
Hence proved