the cross country team practices by jogging on
the town's streets. the average jogging rate
is 6 miles per hour. one member jogged for
3.5 hours one weekend. how many miles did
the team member jog?

In 3.5 hours, the team member jogged for 21 miles.

Step-by-step explanation:

The average rate of jogging = 6 miles per hour

So, the app. distance covered by jogger in 1 hour =  6 miles

Now, the total time jogger ran in weekend  = 3.5 hour.

So, the total distance covered by jogger  

= 3.5 hours x ( Distance covered in 1 hour)

= (3.5) x ( 6 miles)  = 21 miles

or, the total distance covered by team member is 21 miles.

Hence, in 3.5 hours, the team member jogged for 21 miles.

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