A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram 8 mi
2000 ft
5 mi
?
Note: Figure is not drawn to scale.
What is the elevation of the road, in feet, at a point 5 miles from the starting point?
1250
1000
1500
750

power property.

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

c

step-by-step explanation: easy math