A math teacher asks Nico and Katya to solve the following word problem. A car travels 98 miles in 1.7 hours on a freeway where the speed limit is 55 mph. Was the car speeding? Nico and Katya both agree that they should use their calculators to divide the miles by the hours to find the speed of the car, and then compare the answer to 55 mph. However, Nico says it's okay to round what his calculator says to the nearest whole number. Katya says that because the calculator displays eight numbers after the decimal point, they shouldn't round. She says they should write down exactly what the calculator shows. Do you agree with Nico or with Katya? In a short paragraph, explain who you agree with and provide the reasons why.

Respuesta :

Answer:

- Was the car speeding?

Yes, the car was speeding as its current speed of 57.65 mph was more than the speed limit of that freeway.

- Do you agree with Nico or with Katya?

I agree somewhat with both Nico and Katya, but, I agree more with Nico.

- Explain your reasoning.

Like I said, I agree more with Nico's method of rounding the speed to the nearest whole number. This is because in this question, the standard speed we want to compare the calculated speed with is given as a whole number. Hence, it is more proper to estimate the calculated speed to its nearest whole number too.

Step-by-step explanation:

Speed during a travel is given as distance travelled divided by time taken

Speed = (Distance/time)

Distance = 98 miles

Time = 1.7 hours

Speed = (98/1.7) = 57.6470588235 = 57.65 mph = 58 mph

- Was the car speeding?

The speed limit for the road is 55 mph and the current speed of the car = 57.65 mph

Since 57.65 > 55

The car was overspeeding.

- Nico says it's okay to round what his calculator says to the nearest whole number. Katya says that because the calculator displays eight numbers after the decimal point, they shouldn't round. She says they should write down exactly what the calculator shows. Do you agree with Nico or with Katya?

I agree somewhat with both Nico and Katya as the both methods of recording the speed ate right, depending on what the speed is required for.

Although, I agree more with Nico's method as it seems like a better fit for the situation described in the question.

- explain who you agree with and provide the reasons why.

Like I said earlier, I agree more with Nico's method of rounding the speed to the nearest whole number. This is because in this question, the standard speed we want to compare the calculated speed with is given as a whole number. Hence, it is more proper to estimate the calculated speed to its nearest whole number too.

Katya's method of writing the calculated speed as is will be correct in cases where extreme accuracy is required, not an estimate. For this question, the estimate will do.

Hope this Helps!!!

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