Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (look at the image below) the dependent variable is distance, the equation is x = 20y, and the dragonfly will travel 360 miles. the dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles. the dependent variable is time, the equation is x = 20y, and the dragonfly will travel 360 miles. the dependent variable is time, the equation is y = 20x, and the dragonfly will travel 480 miles.

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.

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.