Question

Oscar and Maria each wrote an equation that they felt represented the proportional relationship between distance in kilometers and distance in miles. One entry in the table paired 152 km with 95 miles. If 𝑘 represents the number of kilometers and 𝑚 represents the number of miles, who wrote the correct equation that would relate kilometers to miles? Explain why.

Answer 1

95 miles =152 km
1 mile = 152/95 or 1.6 km
this is the acceptable relationship

Since there is none other given, we can't decide who was right

Answer 2

Jason and Whitney each wrote an equation that they felt represented the proportional relationship between the distance in kilometers and distance in miles. One entry in the table paired 182 km with 65 miles.

Jason wrote the equation k = 2.8m. He said the unit rate

represents kilometers per mile.
Whitney wrote the equation k = 0.357m. She said the unit rate 0.357 represents kilometers per mile.

If k represents the number of kilometers and m represents the number of miles, who wrote the correct equation that would relate kilometers to miles? Explain why.
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