Question

for a car driving at a constant rate of 60 miles per hour, the table represents distance from a historical mile marker on the highway as a function of dribing time. which equation could be used to determine the driving time(s) when the car is 150 miles from the historical mile marker?​

Answer 1

Option (4)

Explanation:

If we plot the points given in the table attached,

We can get the graph of an absolute function with the line of symmetry as,

x = 4

Let the equation of the parent function (of the absolute function) is,

y = m|x| [Line of symmetry x = 0]

here m = speed of the car = 60 mph

so the equation will be in the form of y = 60|x|

Since, line of symmetry is x = 4, parent function has been translated by 4 units to the right.

So the equation of the transformed function will be,

y = 60|x - 4|

If the car is at 150 miles, equation to determine the driving time will be,

150 = 60|x - 4|

Option (4) will be the answer.