Function 1: y = 4x + 5 function 2: the line passing through the points (1, 6) and (3, 10). which of these functions has the greater rate of change? a) function 1, because the slope is 5 and the slope of function 2 is 4. b) function 1, because the slope is 4 and the slope of function 2 is 2. c) function 2, because the slope is 7 and the slope of function 1 is 5. d) function 2, because the slope is 5 and the slope of function 1 is 4.

the answer is b.

step-by-step explanation:

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