Question

find an equation
here’s the vehicle you chose to compare to the taxi.
let ( t ) represent time in seconds.
which equation could you solve to determine when the two vehicles will meet?
( 8t + 6 = 9 ) ( 6t + 8 = 9t ) ( 6 + 8t = 9t )
image of a taxi and another vehicle on a road with their rates and start positions: taxi - rate: 9 m/s, start: 0 m; other vehicle - rate: 6 m/s, start: 8 m

Explanation:

Step1: Write taxi's position equation

Position = initial position + (rate × time)
$\text{Position}_{\text{taxi}} = 0 + 9t = 9t$

Step2: Write other vehicle's position equation

Position = initial position + (rate × time)
$\text{Position}_{\text{other}} = 8 + 6t = 6t + 8$

Step3: Set positions equal for meeting

When vehicles meet, their positions are equal.
$6t + 8 = 9t$

Answer:

$6t + 8 = 9t$