Guys please help!!
PLS HELP!!! (not multiple choice)
If a car travels at a constant rate of speed, the distance that it travels varies directly as time. If a car travels 75 miles in 2.5 hours, it will travel 110 feet in 2.5 seconds.
a. Find the constant of variation in miles per hour
b. Draw a graph that compares the distance that the car travels in miles to the number of hours traveled. Let the horizontal axis represent minutes and the vertical axis represents characters.
c. Find the constant of variation in feet per second.
d. Draw a graph that compares the distance the car travels in feet to the number of seconds traveled.
I THINK A .The distance a car travels at a constant speed varies directly as the time the car spends traveling. If a car traveled 105 miles in 3 hours,
d = r*t
r = d/t
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how far could the car travel in 7 hours?
d = r*t
See your first post of this question before you post it again.
I did make a mistake there when I said that the two speeds were not the same. Oops.
can someone pls go to my question. Its the idk one
a. To find the constant of variation in miles per hour, we need to set up a proportion between the distance traveled and the time taken. In this case, we have:
Distance traveled (in miles) / Time taken (in hours) = Constant of variation (in miles per hour)
Given that the car travels 75 miles in 2.5 hours, we can set up the proportion:
75 miles / 2.5 hours = x miles per hour
To solve for x, we can cross multiply and divide:
75 * 1 / 2.5 = x
x = 30 miles per hour
Therefore, the constant of variation in miles per hour is 30.
b. To draw a graph comparing the distance (in miles) to the number of hours traveled, we can plot the points of the given data. We have:
(0, 0)
(2.5, 75)
On the horizontal axis, we represent the number of hours traveled, and on the vertical axis, we represent the distance in miles. Using these points, we can draw a straight line connecting them.
c. To find the constant of variation in feet per second, we can set up a similar proportion like before:
Distance traveled (in feet) / Time taken (in seconds) = Constant of variation (in feet per second)
Given that the car travels 110 feet in 2.5 seconds, the proportion becomes:
110 feet / 2.5 seconds = y feet per second
To solve for y, we can cross multiply and divide:
110 * 1 / 2.5 = y
y = 44 feet per second
Therefore, the constant of variation in feet per second is 44.
d. To draw a graph comparing the distance (in feet) to the number of seconds traveled, we can plot the points of the given data. We have:
(0, 0)
(2.5, 110)
On the horizontal axis, we represent the number of seconds traveled, and on the vertical axis, we represent the distance in feet. Using these points, we can draw a straight line connecting them.