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Answer:
The required equation is:
Step-by-step explanation:
We know that
distance = rate × t
Given that a car moving at a constant speed passed a timing device at t=0.
In other words, at t = 0 second, d = 0 ft.
After 7 seconds, the car has traveled 567 ft.
In other words, at t = 7 seconds, d = 567 ft
Thus, there are two points
(0, 0)
(7, 567)
Finding the slope between (0, 0) and (7, 567)
Using the formula
Slope = Rate of change = [y₂-y₁] / [x₂-x₁]
= [567 - 0] / [7-0]
= 567 / 7
= 81 ft/second
Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider
Thus, the required equation is:
distance = rate × t
d = 81 × t
d = 81t
or
f(t) = 81t
VERIFICATION
Given the equation
d = 81 × t
Put t = 0 to find the disatance in 1 sec
d = 81 × (0) = 0 ft
Put t = 7 to find the distance in 7 seconds
d = 81 × (7) = 567 ft