PLEASE HELP Houa is driving on a long road trip. She currently has 14 gallons of gas in her car.
Each hour that she drivest, her car uses up 1 gallon of gas. How much gas would be in
the tank after driving for 5 hours? How much gas would be left after t hours?
Gas left after 5 hours:
Gas left after t hours:

9 gallons after drive 5 hours

14-t=left after drive t hours

2

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places