Question

Jessica used a sensor to measure the speed of a moving car at different times. At each time, the sensormeasured the speed of the car in both miles per hour and kilometers per hour. The table belofy showsher results. Based on her result, is the relationship between m. the speed of the car in miles per hour, andk, the speed of the car kilometers per hour proportional?RECORDED SPEEDSSpeed(miles per hour)Speed(kilometers per hour)17.69911.026.041.83434.054.706

Answer 1

we have that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

Let

x -----> Speed (miles per hour)

y -----> Speed (kilometers per hour)

the value of the constant of proportionality k is equal to

K=y/x

If the value of K is the same for each ordered pair, then the relationship between the two variables is proportional

so

Find the value of k for each ordered pair

For x=11, y=17.699 ------> K=17.699/11=1.609

For x=26, y=41.834 ----> K=41.834/26=1.609

For x=34, y=54.706 ----> k=54.706/34=1.609

the values of K are equal in each ordered pair

that means

the relationship between the two variables is proportional