Years since 1994 (x) New Cases (y)
0
869
1
879
2
884
3
890
4
924
The number of newly reported crime cases in a county in
New York State is shown in the accompanying table,
where x represents the number of years since 1994, and
y represents number of new cases. Write the linear
regression equation that represents this set of data,
rounding all coefficients to the nearest hundredth. Using

72 is the answer to this problem

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