Use the data to create a scatter plot

The scatter plot of the given data is shown below.

Step-by-step explanation:

The given data is

Time (years)               Number of participants

      3                                       22

      6                                       25

      9                                       28

      12                                       14

      15                                       17

      18                                       20

      21                                       15

      24                                       9

In the scatter plot the x-axis represents the time in years and the y intercept represents the number of participants.

The scatter plot of the given data is shown below.

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