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Question

A small plane flies 760,320 yards in 2 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.

Part A: Rearrange the distance formula, d = rt, to solve for rate. (3 points)

Part B: Find the plane's rate in yards per hour. (4 points)

Part C: Rearrange the distance formula, d = rt, to solve for time. (3 points)

Answer 1

Part A: Rearranging the distance formula, d = rt, to solve for rate (r):

d = rt Divide both sides by t: d/t = r

So the formula to solve for rate is r = d/t.

Part B: Finding the plane's rate in yards per hour:

Given: Distance (d) = 760,320 yards Time (t) = 2 hours

Using the formula r = d/t, we substitute the given values:

r = d/t r = 760,320 yards / 2 hours r = 380,160 yards per hour

Therefore, the plane's rate is 380,160 yards per hour.

Part C: Rearranging the distance formula, d = rt, to solve for time (t):

d = rt Divide both sides by r: d/r = t

So the formula to solve for time is t = d/r.

Answer 2

Part A: Rearrange the distance formula, d = rt, to solve for rate. (3 points)

d=rt. To solve for rate, divide both sides of the equation by t

d/t=rt/t Simplify

d/t=r

Part B: Find the plane's rate in yards per hour. (4 points)

d=760,320 yards/2 hours Divide

d=380,160 yards/hour

Part C: Rearrange the distance formula, d = rt, to solve for time. (3 points)

d=rt. To solve for time, divide both sides of the equation by r

d/r=rt/r Simplify

d/r=t