Question:
A charter bus travels 225 miles in 4.5 hours. Assume the distance travelled is directly proportional to the time spent.
Write a direct variation equation.
Answer:
[tex]y = 50x[/tex]
Step-by-step explanation:
Let:
y = distance
x = time
So:
[tex]y = 225[/tex] and [tex]x = 4.5[/tex]
Since, they are directly proportional: The following relationship exists
[tex]y = kx[/tex]
Where
k = constant of variation
Substitute values for y and x
[tex]225 = 4.5 * k[/tex]
Make x the subject
[tex]k = \frac{225}{4.5}[/tex]
[tex]k = 50[/tex]
Substitute 50 for k in [tex]y = kx[/tex]
[tex]y = 50x[/tex]
