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.

Oscar wrote the equation k=1.6m, and he said that the unit rate 1.6/1 represents kilometers per mile.


Maria wrote the equation k=0.625m as her equation, and she said that 0.625 represents kilometers per mile.

Answer 1

9514 1404 393

Answer:

Oscar

Explanation:

On the face of it, you can see that the number of kilometers representing a given distance is greater than the number of miles. (152 > 95)

This means the constant of proportionality (a) in the equation ...

k = am

must be greater than 1. You can find its value by solving this equation for 'a' and using the table entries for k and m:

a = k/m = 152/95 = 8/5 = 1.6

The correct relation is ...

k = 1.6m . . . . . Oscar wrote the correct equation