Question

Enter an equation relating the variables in the table. Express any value(s) in your answer as simplified fractions, If necessary. Time (x) 14 42 49 63 Distance (y) 6 18 21 27 The equation is y =

Answer 1

Step-by-step explanation:

As we can see, the values ​​shown in the table between time and distance are directly proportional, therefore as the time progresses the greater the distance traveled,

therefore the equation remains as follows:(For this, we must first calculate the constant of proportionality between both magnitudes)

`\begin{gathered} \text{constant of propor}tionality\colon \\ \frac{time}{\text{distance}}=(14)/(6)=2.3;(42)/(18)=2.33 \\ the\text{ constant is repe}ated\text{ }for\text{ all values} \end{gathered}`

therefore the equation is:

`y=2.3*\text{distance}`

Multiplying the constant by the distance will give me the time covered,