Question

Based on her results, which statement describes the relationship between m, the speed of the car in miles per hour, and k, the speed of the car in kilometers per hour?​

Answer 1

The complete question is as follows.

Verda used a sensor to measure the speed of a moving car at different times. At each time, the sensor measure the speed of the car both in miles per hour and kilometers per hour. The table below shows her results.

Speed (miles per hour) Speed (kilometer per hour)

11.0 17.699

26.0 41.834

34.0 54.706

Based on her results, which statement describes the relationship between m, the speed of the car in miles per hour, and k, the speed of the car in kilometers per hour?

a. The relationship is proportional because the ratio of m to k is constant.

b. The relationship is proportional because the difference between m and k is constant.

c. The relationship is not proportional because the ratio of m to k is constant.

d. The relationship is not proportional because the difference between m and k is constant.

Answer: a. The relationship is proportional because the ratio of m to k is constant.

Step-by-step explanation: When the ratio of two varying quantities is constant, it said that those quantities are in a relation of proportionality.

In the table, it is known the values of the varying speed. To determine if they are proportional, find the ratio of each:

`(m)/(k) = (11)/(17.699)` = 0.6215

=
`(26)/(41.834)` = 0.6215

=
`(34)/(54.706)` = 0.6215

The ratio is a constant, therefore, the speed are proportional.