Lindsay needs to interview a minimum of 15 people for a project in her
health class. So far she has interviewed 6 people. Write and solve an
inequality to find p, the possible number of people she still needs to
interview to complete the project.

The required inequality is p≥9

Step-by-step explanation:

Given condition:

Lindsay needs to interview a minimum of 15 people.

Lindsay completed interviewing 6 people.

To Find:

The possible number of people she still needs to interview to complete her project.

Solution:

Let p be the number of people needed to complete the project.

To complete the project Lindsay needs to interview minimum 15 people.

                                            i.e.p≥ 15

But she has already interviewed 6 people. so, (15-6) = 9

                                            i.e p+6≥15

                                           or, p+6≥15

                                            ∴ p≥9

Hence the inequality that shows the people she still needs to  interview to complete the project is p≥9.

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