Question

Exit Ticket

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

Answer 1

The complete question is:

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

• Oscar wrote the equation = 1.6, and he said that the unit rate 1.6 / 1

represents kilometers per mile.

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

Answer:

• Oscar wrote the correct equation that would relate kilometers to miles.

Step-by-step explanation:

1. Table

km miles

152 95

2. Set the proportion with / and solve for k

• / = 152 km / 95 miles

• / = 1.6 km / 1 miles

• = 1.6 , where 1.6 / 1 represents kilometers per mile.

So, Oscar is right.

3. Solve the proportion for

• / = 152 km / 95 miles

• / = 95 miles / 152 km

• = 0.625 , where 0.625 represents miles per kilometer

So, Maria is wrong.