The graph shown here displays the distance, in miles, traveled by an airplane in a certain number of hours. based on the graph, which of the following equations indicates the correct variables, and in how many hours does the airplane travel 8,000 miles if it travels at the same speed?
graph titled motion of an airplane shows time in hours on x axis and distance in miles on y axis. a straight line joins the ordered pairs 0, 0 and 2, 400 and 4, 800 and 6, 1200.
x = 200y, the airplane travels 8,000 miles in 42 hours
y = 200x, the airplane travels 8,000 miles in 42 hours
x = 200y, the airplane travels 8,000 miles in 40 hours
y = 200x, the airplane travels 8,000 miles in 40 hours

Step-by-step explanation:

Given is a graph showing  the distance, in miles, traveled by an airplane in a certain number of hours.

The variables are distance in miles, time in hours.

We know that distance /time =speed

When constant speed is maintained the rate of change of distance to time is constant i.e. slope = constant

Hence equation would be

distance = time in hours multiplied by  constant speed per hour.

x axis is time and y axis is distance

Distance y = 200x and this satisfies when x=40 y = 8000 miles.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

the first one

step-by-step explanation:

just id the test.