A moving company charges $100 for up to, and including, 1.5 hours of labor. After 1.5 hours, the cost goes up to $150 for up to, and including, 3 hours of labor. After 3 hours, the cost goes up to $190 for up to, and including, 4.5 hours of labor. Which graph correctly represents the costs for using the moving company?

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Step-by-step explanation:

-1/2 +2

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