PLEASE HELP Given the line and a point on the line, what is the equation of the line in point-slope form?
A) y − (−1) = −3(x − 5)
B) y + (−1) = −3(x − 5)
C) y − (−1) = −3(x + 5)
D) y + (−1) = −3(x + 5)

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step-by-step explanation:

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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