Question

Suppose a satellite orbiting Earth travels 350 kilometers in 40 seconds. At this rate, how much time does it take it to travel 70 kilometers?

(a) Let t be the unknown amount of time it takes the satellite (in seconds). Using the values below, create a proportion that can be used to find t.

Values: t , 350 , 40 , 70


(b) Use the proportion from part (a) to find the time it takes the satellite to travel 70 kilometers. Do not round any computations.

Answer 1

For a) how can that be in a fraction?

Answer 2

(a) The proportion that can be used to find t is:

350/40 = 70/t

(b) To find the time it takes the satellite to travel 70 kilometers, set up the equation from part (a):

350/40 = 70/t

Cross multiply:

350 * t = 40 * 70

350t = 2800

Divide both sides by 350:

t = 2800/350

t = 8

Therefore, it takes the satellite 8 seconds to travel 70 kilometers.

Answer 3

I apologize for the mistake. You are correct, the proportion should be set up using fractions.

The correct proportion is:

350/40 = 70/t

To find the time it takes the satellite to travel 70 kilometers, cross multiply:

350 * t = 70 * 40

350t = 2800

Divide both sides by 350:

t = 2800/350

t = 8

Therefore, it takes the satellite 8 seconds to travel 70 kilometers.