Hello!
The answer is:
The equation that represents the relationship between the time (t) and the total distance (d) is:
[tex]Distance=95\frac{miles}{hour}*t[/tex]
Why?
From the given table, we can deduce that the traveled distance increases with a rate of 95 miles each hour. So, using that information, we can write an equation to represent the relationship between time (t), and the total distance (d).
Writing the equation, we have:
We need to consider that the speed is equal to:
[tex]v=95\frac{mile}{hour}[/tex]
Then, the equation will be:
[tex]x=x_{o} +v*t\\x-x_{o}=v*t\\Distance=v*t[/tex]
Now, substituting the speed into the equation, we have:
[tex]Distance=95\frac{miles}{hour}*t[/tex]
Hence, the equation that represents the relationship between the time (t) and the total distance (d) is:
[tex]Distance=95\frac{miles}{hour}*t[/tex]
Have a nice day!
