Jeremiah and Noah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Jeremiah is 273 miles away from the stadium
and Noah is 252 miles away from the stadium. Jeremiah is driving along the highway
at a speed of 51 miles per hour and Noah is driving at speed of 44 miles per hour. Let
J represent Jeremiah's distance, in miles, away from the stadium t hours after noon.
Let N represent Noah's distance, in miles, away from the stadium t hours after noon.
Write an equation for each situation, in terms of t, and determine whether Jeremiah
or Noah is closer to the stadium 2 hours after noon.

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

step-by-step explanation: