Ayoub is driving to France for his holiday. He will drive a total distance of 300 miles. Ayoub sets off at 07:15.

It takes him 2.5 hours to travel the first 125 miles.

Use this information to estimate the time Ayoub will arrive.

10:30 hours

Step-by-step explanation:

Total distance=300 Miles, Start Time=07:15

Distance travelled so far is 125 miles for 2.5 hours

First we need to calculate Ayoub's speed as follows

Speed=Distance/Time

=125miles/2.5hour

=50 miles/hr

The calculate the remaining distance

=300-125

=175 Miles

Assuming that Ayoub Travels in the same speed at the first 300 miles, the time he will use to cover the remaining 175 miles is

Time=Distance/speed

Substituting the values

Time=175/50

=3.5 hours

The time he will arrive at Paris is

07:15+03:30

=10:30 hours

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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