A train is travelling from new orleans at a constant speed of 79 hours per hour. New Orleans and memphis are miles apart. How long will the train take to reach memphis?

5 hours

Step-by-step explanation:

Time = Distance divided  by Rate

-         Distance is how far location A is from location B

-         Rate is the speed of the vehicle when it is travelling

Hence, we get the below solutiom:

Time = 395.1mi divided by 79mph

Time = 5 hours

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