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The formula for the time it takes to travel a distance of 
d at an average speed 
v is 
(d)/(v).
Tessa ran a 100-meter dash at a speed of about 7.5 meters per second.
What calculation will give us the estimated duration of Tessa's dash in seconds?
Choose 1 answer:
(A) 
(7.5)/(100)
(B) 
(100)/(7.5)
(c) 
(7.5)/(100*60)
(D) 
(100*60)/(7.5)

The formula for the time it takes to travel a distance of dd at an average speed vv is dv\frac{d}{v}. Tessa ran a 100100-meter dash at a speed of about 7.57.5 meters per second. What calculation will give us the estimated duration of Tessa's dash in seconds? Choose 11 answer: \newline(A) 7.5100\frac{7.5}{100} \newline(B) 1007.5\frac{100}{7.5} \newline(C) 7.5100×60\frac{7.5}{100 \times 60} \newline(D) 100×607.5\frac{100 \times 60}{7.5}

Full solution

Q. The formula for the time it takes to travel a distance of dd at an average speed vv is dv\frac{d}{v}. Tessa ran a 100100-meter dash at a speed of about 7.57.5 meters per second. What calculation will give us the estimated duration of Tessa's dash in seconds? Choose 11 answer: \newline(A) 7.5100\frac{7.5}{100} \newline(B) 1007.5\frac{100}{7.5} \newline(C) 7.5100×60\frac{7.5}{100 \times 60} \newline(D) 100×607.5\frac{100 \times 60}{7.5}
  1. Understand the formula: Understand the formula for time.\newlineThe formula for time is given by time=distancespeed\text{time} = \frac{\text{distance}}{\text{speed}}. We need to use this formula to calculate the time it takes Tessa to run a 100100-meter dash at a speed of 7.57.5 meters per second.
  2. Identify correct values: Identify the correct values to use in the formula.\newlineTessa's distance dd is 100100 meters, and her speed vv is 7.57.5 meters per second. We need to plug these values into the formula to find the time.
  3. Apply values to formula: Apply the values to the formula.\newlineUsing the formula time=distancespeedtime = \frac{distance}{speed}, we substitute the given values to get time=100meters7.5meters per secondtime = \frac{100 \, \text{meters}}{7.5 \, \text{meters per second}}.
  4. Perform the calculation: Perform the calculation.\newlineNow we calculate the time by dividing the distance by the speed: time=1007.5=13.333\text{time} = \frac{100}{7.5} = 13.333\ldots seconds.
  5. Choose correct answer: Choose the correct answer from the given options.\newlineThe calculation we performed matches option (B) (100)/(7.5)(100)/(7.5), which is the correct choice for estimating the duration of Tessa's dash in seconds.

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